Graphing f(x)=(x+2)^2-3 in vertex form

Answers

Answer 1

Answer:

Step-by-step explanation:

This is a parabola shaped like a U.

The minimum value is at (-2, -3).

Find the zeroes:

(x + 2)^2 = 3

Find the zeroes:

x + 2 = +/- √3

x = +/-√3 - 2

x = -0.27, -3.73.

So the graph cuts the x axis at (-0.27, 0)  and (-3.73, 0)

when x = -4 , f(x) = 1 and when x = 1,  f(x) =  6.

So you can now draw the curve through these 5 points and it will be shaped like a U, symetrical about the line x = -2


Related Questions

Help me find the answer to this area of a kite problem

Answers

Answer:

Below in bold.

Step-by-step explanation:

Area of a kite = 1/2 * D1 * D2   were D1 and D2 are the 2 diagonals

D1  = 5 + 2.5 = 7.5 and D2 = 2*44444.5 = 9

So area = 1/2 * 7.5 * 9

= 33.75.

Answer:

33.75 Ft

Step-by-step explanation:

(5*4.5)/2+(5*4.5)/2+(4.5*2.5)/2+(4.5*2.5)/2

please help I don't know the median

Answers

Answer:8

Step-by-step explanation:

least to greatest:6,8,8,9,9

crossout the ends:6,9 and 8,9

what is left in the middle:8

Answer:

6

Step-by-step explanation:

Median is the middle of the data set which is 6.


Which choice describes an equation
that has a solution set of
"All real numbers"?
3(x + 1) = 3x + 3

Answers

Answer:

Step-by-step explanation:

Remark

Choose any number at all and see what happens.

Suppose x = 8

3*(8 + 1) = 3*8 + 3

3(9) = 27

3*8 + 3 = 24 + 3 = 27

What you have shown is that the second choice is incorrect. There is at least one value that makes the equation correct (that is, both sides come to the same result.)

If choice two is false then choice one must be true since these results may give the only 2 possible results.

A ten sided die is rolled.
P (3 or 5)

Answers

Answer: 1/5 or 20%



Step by Step Explanation:

Since there is 10 possible out comes, and you favor 2 of them, roling the die once will give you a 10/2 or 1/5 chance of getting 3 or 5.

Formula:  Number of outcomes divided by Favorable Outcomes

Find the image of Y(-7,4) after a dilation centered at the origin with a scale factor of -3

F= Y(-21,12)
G=Y(12,-21)
H=Y(21,-12)
J=Y(-12,21)

Answers

Answer:

H = Y (21, -12)

Step-by-step explanation:

Given

Y = (-7, 4)Dilation of -3

Solving

Multiply the x-value and y-value of the coordinate by -3Y = (-7 x -3, 4 x -3)Y = (21, -12)

The required image point is H=Y(21, -12)

What will happened with scale factor ?

If the scale factor is given then by multiplying the scale factor with the co-ordinates gives us the image of the given point.

How to find the required image point ?

Here the given point is Y(-7, 4)

After the dilation centered at origin, the scale factor is -3

∴ The x co-ordinate is (-7)×(-3)=21

& the y co-ordinate is 4×(-3)= -12

Hence the image is Y(21, -12)

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32/4 times (16 times 1 over 2) minus 2 show your work I NEED HELP ASAP PLSSSS MY DAD IS GOING TO KILL ME

Answers

Answer:

62

Step-by-step explanation:

In this scenario, we would use BODMAS to determine where to start.

B - Brackets

O- Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

First, let's start with the brackets.

16 X [tex]\frac{1}{2}[/tex] is the same as 16 X 0.5.

16 X [tex]\frac{1}{2}[/tex] = 8

Next is the division sum.

32 ÷ 4 = 8

Afterwards, we multiply both answers.

8 X 8 = 64

Your answer is then minused by 2 and leads to the final answer.

64 - 2 = 62

Can someone please help me asap ill give the most point to whoever answers first and CORRECTLY

Answers

Answer:

y+2 if this is correct can u mark me brainliest?

geometry help

answer choices:

24

12

82

59

Answers

12 should be your final answer.

largest arc - smallest arc = 2•angle
94-70=24
24/2=A
A=12

The measure of the angle ∠A will be 12°. Then the correct option is B.

What is a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The angle formed by two secants (lines cutting a circle at two places) intersecting outside the ring is half the distance between their arc minus the closest arc.

From the diagram, the equation is given as,

∠A = (arc DE - arc BC) / 2

∠A = (94° - 70°) / 2

∠A = 24° / 2

∠A = 12°

The measure of the angle ∠A will be 12°. Then the correct option is B.

More about the circle link is given below.

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Use the graph to complete the follow statement. _____ cm of rain fell in total on Tuesday.

Answers

I don’t know the answer is 19 I guess

I need help on this ​

Answers

Answer:

a) 1/8

b) 8

Step-by-step explanation:

a) 1/2 x 1/2 x 1/2 = 1/8

b) since the exponent is negative it becomes positive when placed in the denominator

so 1/2 ^-1 is equal to 1/1 ÷ 1/2 which is equal to 2

therefore, (1/2)^-3 is equal to 2 x 2 x 2 or 8

The percentage of executives in a certain industry receiving cash signing bonuses is increasing. the percentage is given by the function b(t)= 4.891(1.331)^t. where r is the number of years since 1996. find the percentage of executives receiving signing bonuses in 2000 and in 2001.

Answers

The function b(t)= 4.891(1.331)^t is an exponential function

The percentage of executives in 2000 is 15.35The percentage of executives in 2001 is 20.43

The percentage of executives in 2000

The function is given as:

b(t)= 4.891(1.331)^t.

2000 is 4 years from 1996.

This means that t = 4

So, we have:

b(4)= 4.891(1.331)^4

Evaluate

b(4)= 15.35

So, the percentage of executives in 2000 is 15.35

The percentage of executives in 2001

2001 is 5 years from 1996.

This means that t = 5

So, we have:

b(5)= 4.891(1.331)^5

Evaluate

b(5)= 20.43

Hence, the percentage of executives in 2001 is 20.43

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Think carefully about the angle relationship the following represents.







What is the value of x?


Think carefully about the angle relationship the following represents.







What is the value of x?


48


66


24


33

Item at position 2
2
1 point

Item at position 2
Based on your value of x in question #1, what is the value for \angle EHF∠EHF



Based on your value of x in question #1, what is the value for \angle EHF∠EHF



132 degrees


96 degrees


180 degrees


90 degrees

Item at position 3
3
1 point
Item at position 3
Think carefully about the angle relationship the following represents.







What is the value of x?


Think carefully about the angle relationship the following represents.







What is the value of x?


90


20


12


5/2

Item at position 4
4
1 point

Item at position 4
Think carefully about the angle relationship the following represents.







What is the value of \angle ZXY∠ZXY?


Think carefully about the angle relationship the following represents.







What is the value of \angle ZXY∠ZXY?


29 degrees


55 degrees


90 degrees


20 degrees

Item at position 5
5
1 point

Item at position 5
Think carefully about the angle relationship the following represents.







What is the value of x ?


Think carefully about the angle relationship the following represents.







What is the value of x ?


42


18


26


5

Item at position 6
6
1 point

Item at position 6
Think carefully about the angle relationship the following represents.







What is the value of \angle JML∠JML?


Think carefully about the angle relationship the following represents.







What is the value of \angle JML∠JML?


180 degrees


90 degrees


100 degrees


126 degrees

Answers

Answer:

See below ↓↓↓

Step-by-step explanation:

Subquestion #1

These angles form a linear pairThey are supplementary, and add up to 180°2x + 48 = 1802x = 132x = 66

Subquestion #2

These angles are complementary, and add up to 90°35 + 4x + 7 = 904x + 42 = 904x = 48x = 12

Subquestion #3

As in #1, they are a linear pair, and are supplementary3x + 54 = 1803x = 126x = 42

#1

Linear pair

[tex]\\ \rm\Rrightarrow 2x+48=180[/tex]

[tex]\\ \rm\Rrightarrow x+24=90[/tex]

[tex]\\ \rm\Rrightarrow x=66[/tex]

#2

Complementary angles

[tex]\\ \rm\Rrightarrow 4x+7+35=90[/tex]

[tex]\\ \rm\Rrightarrow 4x+42=90[/tex]

[tex]\\ \rm\Rrightarrow 4x=48[/tex]

[tex]\\ \rm\Rrightarrow x=12[/tex]

4x+7=4(12)+7=55°

#3

[tex]\\ \rm\Rrightarrow 3x+54=180[/tex]

[tex]\\ \rm\Rrightarrow 3x=126[/tex]

[tex]\\ \rm\Rrightarrow x=42[/tex]

Determine the equation of the circle graphed below.
10
-10 -8 -6
-4
-2
8
6
4
N
N
+
69
O
2
6
8 10

Answers

Answer:

[tex]\implies x^2+y^2-4x -6y+9=0[/tex]

Step-by-step explanation:

Circle is touching y-axis at point (0, 3) and is centered at (2, 3)

-> h = 2, k = 3 & r = 2 units (If a circle touches y -axis then x coordinate of the center will be it's radius)

Equation of circle in standard form is given as:

[tex](x-h)^2 +(y-k)^2 =r^2[/tex]

Plugging the values of h, k and r in the above equation, we find:

[tex](x-2)^2 +(y-3)^2 =2^2[/tex]

[tex]\implies x^2-4x +4+y^2-6y+9=4[/tex]

[tex]\implies x^2+y^2-4x -6y+4+9=4[/tex]

[tex]\implies x^2+y^2-4x -6y+9=0[/tex]

This is the required equation of the circle.

A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood. they are: 2,400; 1,750; 1,900; 2,500; 2,250; 2,100 which of the following represents the numerator in the calculation of variance and standard deviation? (225)2 (–425)2 (–275)2 (325)2 (75)2 (–75)2 = 423,750 (650)2 (–150)2 (–600)2 (250)2 (150)2 (–300)2 = 980,000 (250)2 (–400)2 (–250)2 (350)2 (100)2 (–50)2 = 420,000 what is the variance? what is the standard deviation, rounded to the nearest whole number?

Answers

Option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.

What are the variance and standard deviation?  

In statistics, variance is a measure of the variation of data from the mean, whereas standard deviation is the measure of the normal distribution of statistical data.

A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood.

2,400; 1,750; 1,900; 2,500; 2,250; 2,100

we need to find which of the following represents the numerator in the calculation of variance and standard deviation.

(225[tex])^{2}[/tex] + (–425[tex])^{2}[/tex]+ (–275[tex])^{2}[/tex] + (325[tex])^{2}[/tex] + (75[tex])^{2}[/tex]+ (–75[tex])^{2}[/tex] = 423,750

(650[tex])^{2}[/tex] + (–150[tex])^{2}[/tex] + (–600[tex])^{2}[/tex] + (250[tex])^{2}[/tex] + (150[tex])^{2}[/tex] + (–300[tex])^{2}[/tex] = 980,000

(250[tex])^{2}[/tex] + (–400[tex])^{2}[/tex] + (–250[tex])^{2}[/tex] + (350[tex])^{2}[/tex] + (100[tex])^{2}[/tex] + (–50[tex])^{2}[/tex] = 420,000  

92416.60

The variance is 84000

The standard deviation is 290

mean = (2400+1750+1900+2500+2250+2100)/6

mean = 2150

Subtract the data values from the mean to get

2400-2150 = 250

1750-2150 = -400

1900-2150 = -250

2500-2150 = 350

2250-2150 = 100

2100-2150 = -50

The differences are 250, -400, -250, 350, 100, -50

Then you square those values and add up the squares

(250)^2 +  (-400)^2 +  (-250)^2 +  (350)^2 +  (100)^2 +  (-50)^2 = 420,000

Hence, option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.

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Find the value of x.

I’m desperate for help

Answers

Answer:

the answer is 24 since 24 x 5 = 120

Step-by-step explanation:

Hope this helps you!

Please help me with this math problem!! Will give brainliest!! :)

Answers

Answer:

See below

Step-by-step explanation:

From the graph :

y = -x         -inf < x <=0

y = x             0<= x <= 2

y = 3            x > 2

Yo I need to bring up my grade bad so
-3x-9=-3y
(please show it graphed already :D)

Answers

Answer:

Step-by-step explanation:

Jacob has $4,800 to invest in a saving account. He receives a steady interest rate of 3. 35% compunded quarterly. He would like to save or the next 5 years and then take his money out. What would be his balace at the end of the 5 years?


$9,354. 20



$7,211. 74



$5,671. 30



$5,604. 0

Answers

Answer:

5671.30

Step-by-step explanation:

periods = 5 years quarterly = 20 periods

 interest per period  .0335/4     (4 periods per year)

   initially 4800

FV = future Value = 4800 ( 1 + .0335/4)^20 = 5671.30

heeeeeeeellllllllllllpppppppppppppp

Answers

I believe it’s 5/6 I hope you have a good day

16. The population density of football stadium is.57 people per square foot. If the area of the stadium is 1,750,000 ft?,
then about how many people are in the stadium?

Answers

Answer:

99750000 people

Step-by-step explanation:

1,750,000*57=99750000

Can you help me with this problem it is greatly appreciated

Answers

Answer:

Mikiala,  just remember  π is just a number. sooo

Step-by-step explanation:

we need a formula for area of a cone which is  (1/3) * π * r² * h

A = area , then

A=  (1/3) * π * r² * h

now just solve with the known info

A = 1/3 * π* [tex]6^{2}[/tex] *16

A= 192π

Answer:

603.2

Step-by-step explanation:

Formula for volume of cone: [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]x^{2}[/tex]h

Rachel's aunt gave her $85 to spend on
school spirit items. Rachel bought 4 pens
for $0.85 each, a hoodie for $45.50, and
5 folders for $2.79 each. How much
money did she have left?
A $22.15
B $19.36
C $62.85
D $35.86

Answers

The amount Rachel has left of the amount given to her by her aunt after she makes the purchases is  $22.15.

How much does Rachel have left?

In order to determine the amount she would have left, determine the total value of the purchases and subtract it from the amount she was given.

Total value of the purchases = (4 x 0.85) + 45.50 + (5 x 2.79) = $62.85

Change =  $85 - $62.85 = $22.15

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Write -1/3c^2(1.2d^2-6c) as a polynomial

Answers

Answer:

[tex]-\dfrac25c^2d^2+2c^3[/tex]

Step-by-step explanation:

[tex]-\dfrac13c^2(1.2d^2-6c)[/tex]

[tex]\implies -\dfrac13c^2 \cdot 1.2d^2+\dfrac13c^2 \cdot 6c[/tex]

[tex]\implies -\dfrac{1.2}{3}c^2d^2+\dfrac63c^2c[/tex]

[tex]\implies -\dfrac25c^2d^2+2c^3[/tex]

What is the largest whole number I could be if 9 + I is larger than 28?

Answers

Answer:

20 and greater than 20

If you add 9 and 20, you get 29, which is one greater than 28.

__________________________________________________________

Questions?

Ask me in the comments box.

Question 13 options:


What is the slope of the line of the graph?

Answers

Answer:

Step-by-step explanation:

To find the slope, pick any two points fromthe line.

(2,2)  & (0,-4)

x₁ = 2 & y₁ = 2

x₂ = 0 & y₂ = - 4

[tex]\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]

          [tex]\sf =\dfrac{-4-2}{0-2}\\\\\\ =\dfrac{-6}{-2}\\\\\\=3[/tex]

Slope = 3

At y-intercept x = 0.

From the graph, y-intercept = -4

Equation of the line: y = mx + b

y = 3x - 4

timomthy began his math homework at 5:17 pm he finished at 5:49 how many minutes did he send on his math homework

Answers

Answer:

32 minutes

Step-by-step explanation:

49 - 17 = 32

Timothy spent 32 minutes on his math homework.

Answer: just count from 17 to 49 and then boom answer!!! that is if its still pm when he is done.

The function P(x)=x^3−2x^2 is dilated by the function I(x)=P(4x).

Which function rule represents I(x)?

A.) I(x)=4x^3−8x^2
B.) I(x)=64x^3−32x^2
C.) I(x)=4x^3−2x^2
D.) I(x)=64x^3−2x^2

Answers

Answer:

Its C

Step-by-step explanation:

Why? because its C

It’s a if it’s not ask your teacher about your homework

Two of the interior angles of a triangle are 50° and 75°. Which of the following could be a measure of an exterior angle of the triangle?

Answers

Answer:

Step-by-step explanation:

so, 50+75=125.

180-125=55.

There can be-

130, 95, and 125

ing a Reflection in the
oordinate Plane continued
angle XYZ is reflected across the y-axis to form
ure X'Y'Z'.



for classroom use.

Answers

Step-by-step explanation:

17) no problem were noticed, just:

reflecting across Y-axis changes the coordinate 'x', no changes for coordinate 'y';

reflecting across X-axis changes the coordinate y, no changes for coordinate 'x'.

For more info see the attached picture.

4. The method of completing the square was used to solve the equation 2x^2 - 12x + 6 = 0. Which equation is a
correct step when using this method?
A. (x - 3)^2 = 6
B. (x - 3)^2 = -6
C. (x - 3)^2 = 3
D. (x - 3)^2 = -3



Pls help

Answers

Answer: B

Step-by-step explanation: I hope it helps if not your welcome to get a tutor

The requried correct step when using the method of completing the square to solve the equation 2x² - 12x + 6 = 0 is A. (x - 3)² = 6.

What is simplification?

Simplifying an expression involves eliminating unnecessary variables, components, or processes using algebraic and mathematical principles. The goal is to obtain an expression that is easier to use, manipulate, or solve.

Here,
To solve the quadratic equation 2x² - 12x + 6 = 0 using the method of completing the square, we can follow these steps:

Divide both sides by the coefficient of x^2 to make the coefficient of x² equal to 1:

x² - 6x + 3 = 0

Add and subtract the square of half the coefficient of x:

x² - 6x + 9 - 9 + 3 = 0

Factor the first three terms:

(x - 3)² - 6 = 0

Add 6 to both sides:

(x - 3)² = 6

Therefore, the correct step when using the method of completing the square to solve the equation 2x² - 12x + 6 = 0 is A. (x - 3)² = 6.

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