The graph of the parent function y = x² transformed to produce the graph of y = 3(x+1)². It is translated 1 unit left and stretched vertically by a factor of 3.
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
The graph of the parent function y = x² transformed to produce the graph of y = 3(x+1)²
We need to find how the parent function transformed to produce the graph of y = 3(x+1)².
The parent graph is shifted 1 unit towards the left by the rule of transformation.
[tex]f(x) = f(x+1)[/tex]
By applying this rule then,
[tex]y(x) = f(x+1)^2[/tex]
Now, the parent function stretched vertically 3 times the previous graph by the rule
[tex]f(x) = 3f(x)[/tex]
Apply this rule then, we get
[tex]y(x) = 3(x+1)^2[/tex]
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A taxi charges a flat rate of $2.00, plus an additional $3 per mile. If Erica has at most $20 to spend on the cab ride, how far could she travel? Write an inequality and solve
Answer:
6 miles
Step-by-step explanation:
20.00 - 2.00 = 18
18/3 = 6
she can travel 6 miles
I need help with this ASAP
Answer:
hope this will help you........
You asked students the survey question: How many hours did you do homework last week? The responses were 3, 10, 5, 7, 4, 8, 3, 5, 4, and 2 hours. Which statement best represents the data?
1. Most of the friends who responded did homework for 5 or fewer hours last week.
2. Most of the friends who responded did homework for more than 8 hours last week.
3. Most of the friends who responded did homework for 6 or more hours last week.
4. Exactly half of the friends who responded did homework for fewer than 6 hours last week.
11. Graph the following equation and if possible, determine the slope.
y= -3
Please help I will mark you as brainiest
Answer:
A. m = 0
Step-by-step explanation:
The slope is 0 as the change in y-value is 0, and change in x-value is infinite.
Graph
Select the correct answer. what is the simplest form of this expression? (x 7)(3x − 8) a. 3x2 2x − 15 b. 3x2 29x − 1 c. 3x2 − 29x − 56 d. 3x2 13x – 56
The simplest form of the expression (x + 7)(3x − 8) is 3x² + 13x - 56
How to determine the simplest form of this expression?The expression is given as:
(x + 7)(3x − 8)
Expand the expression
3x² - 8x + 21x - 56
Evaluate the like terms
3x² + 13x - 56
Hence, the simplest form of the expression (x + 7)(3x − 8) is 3x² + 13x - 56
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pls help i’ll give 20 points and brainliest
Answer:
all you have to do is plug points into the equation m=(x1-x2)/(y1-y2) to find the slope. then choose one of the points to plug into the equation y-y1=m(x-x1).
Step-by-step explanation:
use the formulae for each question.
Which quadratic model best represents the data? f(x) = –16x2 99x 6 f(x) = –36x2 37x 5 f(x) = 36x2 37x 5 f(x) = 16x2 99x 6
The quadratic model that represents the data will be A. -16x² - 99x + 6.
What is a quadratic model?It should be noted that a quadratic model simply means a model that is represented by a quadratic equation in the form of y = ax² + bx + c.
From the complete question, the quadratic model that represents the data will be -16x² - 99x + 6.
In conclusion, the correct option is A.
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Answer:
Step-by-step explanation:
Robert climbed 125 steps in five minutes at this rate how many steps did he average per minute
The solution is 62. We have to multiply the mixed number by the whole number. 12 1/2 is 25/2 so we now multiply by flipping the 25/2 to 2/25 and when you multiply you get 1550/25, which is 62
What is the sum of the angles in the image? 154° 106° 144° 164°
Answer:
154
Step-by-step explanation:
130 + 24 = 154
will give brainliest
Answer:
Here is your answer
Step-by-step explanation:
Bearing from point A to B, can be calculated as,
beta = atan * 2(X, Y)
where, X and Y are two quantities and can be calculated as:
X=cos theta b^ * s AL
Y=cos theta a^ * sin theta b-sin theta a^ * cos theta b^ * cos Delta l put the values and calculate
Two lines intersecting at a right angle
Oform a line.
Oare parallel.
Oare perpendicular.
Oform a ray.
Simplify $\frac{4}{\sqrt{3}}$
A store owner must decide whether to continue stocking a particular brand of jeans in the upcoming year. The graph shows the unit sales of this item in the years since the store started stocking it.
The data is best modeled by a
Square Root, Quadratic, Linear
Based on the graph, the store owner
should
Should Not
The data is best modeled by a Quadratic function, and based on the graph, the store owner should continue stocking the product.
How do we know that the graph models a quadratic function?Because it decreases in value until the minimum value, then it increases again.
After that, the graph will continue to increase, that is, it will have no more turning points as it is a quadratic function, hence the store owner should continue storing the product.
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describe full the graph that has the equation x^2 + y^2=9
Answer:
see explanation
Step-by-step explanation:
the equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
x² + y² = 9 ← is in this form
with centre (0, 0 ) and r = [tex]\sqrt{9}[/tex] = 3
this then is the equation of a circle whose centre is (0, 0 ) with radius 3
Answer:
Step-by-step explanation:
Discussion
First of all, the graph is of a circle. Anytime you see x^2 + y^2 = r^2, you are dealing with a circleThe center is at 0,0. If it was anything else then x or y or both would be modified. (x+4)^2 + ( y - 3)^2 = 25 does not have it's center at 0,0Third, the radius of the circle is the square root of r^2. In this case, r^2 = 9 so r = sqrt(9) or r = 3My friends and I are buying a total of 50 Howdy
cupcakes. I'd like to order 20% of the total.
Answer: 10 Howdy cupcakes
Step-by-step explanation:
A percent divided by 100 becomes a decimal.
[tex]20\%\; / \;100 = 0.2[/tex]
Now, we will multiply the total by 0.2 to find 20%.
[tex]50 * 0.2 = 10[/tex]
You will be ordering 10 cupcakes.
10. Factor
Please help me I will mark as brainliest
Answer:
(3w + 7)² or (3w + 7)(3w + 7)
Step-by-step explanation:
Identity
a² + 2ab + b² = (a + b)² = (a + b)(a + b)Solving
9w² + 42w + 49(3w)² + 2(3w)(7) + (7)²(3w + 7)² or (3w + 7)(3w + 7)Which of Talia’s steps is incorrect?
Step 1 is incorrect because it uses a point that is not on the line.
Step 2 is incorrect because it uses a point that is not on the line.
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form
Answer: Step 3 is incorrect because it shows an incorrect ratio for the slope.
Answer:
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step-by-step explanation:
The correct question is:
Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:
Step 1: Choose a point on the line, such as (2, 5).
Step 2: Choose another point on the line, such as (1, 3).
Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is .
Step 4: Substitute those values into the point-slope form.
y – y1 = m(x – x1)
y – 3 = (x – 1)
Which of Talia’s steps is incorrect?
Step 1 is incorrect because it uses a point that is not on the line.
Step 2 is incorrect because it uses a point that is not on the line.
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.
Answer:
Step 1 is correct because from the graph, points (1,3) and (2,5) lies on the line so the points can be used to find the slope.
Step 2 is also correct.
Step 3 is incorrect. Slope of a graph is the ratio of vertical change to horizontal change. The vertical change is the rise while the horizontal change is the run, hence slope is the ratio of rise to run.
Since the line runs 1 unit to the right and rises 2 units up, so the slope is 2/1 = 2
Therefore the correct point-slope form is:
y – y1 = m(x – x1)
y – 3 = 2(x – 1)
Step 4 is correct, because i t shows an incorrect substitution of (1, 3) into the point-slope form.
How much water is in each basket?
Answer:
E
Step-by-step explanation:
1 2/3
Divide 5/3 and you get 1 2/3
Answer:
E) 1 2/3
Step-by-step explanation:
5 divided between 3 buckets in 5/3 which in a mixed number is 1 2/3
The radius of circle a is 5 cm. the radius if circle b is 5 cm greater than the radius of circle a. the radius of circle c is 3 cm greater than the radius of circle b. the radius of circle d is 1 cm less than the radius of circle c. what is the area of each circle? how many times greater than the area of circle a is the area of circle d? the area of circle a is ___ cm2.
Answer:
Theres a lot going on in this question but i tried my best to answer it all, correctly. Sorry if something is wrong or i misread the question. check explanation for answer.
Step-by-step explanation:
I'm not sure to use pi or 3.14 so i just did both.
Circle A's radius = 5cm
Circle B's radius = 10cm
Circle C's radius = 13cm
Circle D's = 12cm
(circle A)
π = 3.14
A = πr²
A = 3.14(5²)
A = 3.14(25)
A = 78.5cm²
π = π
A = πr²
A = π(5²)
A = π(25)
A = 78.54cm²
(circle B)
π = 3.14
A = πr²
A = 3.14(10²)
A = 3.14(100)
A = 314cm²
π = π
A = πr²
A = π(10²)
A = π(100)
A = 314.16cm²
(circle C)
π = 3.14
A = πr²
A = 3.14(13²)
A = 3.14(169)
A = 530.7cm²
π = π
A = π(13²)
A = π(169)
A = 530.9cm²
(circle D)
π = 3.14
A = πr²
A = 3.14(12²)
A = 3.14(144)
A = 452.2cm²
π = π
A = πr²
A = π(12²)
A = π(144)
A = 452.4cm²
452.2 / 78.5 =5.8
circle d is 5( almost 6) times greater than circle A
Subtract 8 from me. Then add 9. If you add 12 and then
subtract 4, you get 18. What number am I?
Answer:
9
Step-by-step explanation:
x - 8 + 9 + 12 - 4 = 18
x = 9
A rectangle has a length of 2x+1 and a width of 3x-2. What is the perimeter of the rectangle?
Answer:
The opposite sides of a rectangle are equal in length ⇒ perimeter = 2(3x +1) +2(x + 1) Also the perimeter = 28.
Answer:
P=2(L+W)
Step-by-step explanation:
p=2(L+W)
2(2x+1)+2(3x-2)
4x+2+6x-4
10x-2
A Block of wood has a mass volume of 0.8g and volume of 16.0cm³. what is the density?
Answer:
[tex]0.05cm {}^{3} [/tex]
Step-by-step explanation:
[tex]density \: is \: the \: mass \: per \: unit \: volume \: of \: an \: object \: \\ density = \frac{m}{v} \\ density = \frac{0.8}{16} = 0.05cm {}^{3} [/tex]
Do these sides make a triangle ?
Yes or no
1) 7cm , 11cm , 14cm
2) 10cm , 8cm , 2cm
Answer:
yesnoStep-by-step explanation:
For three side lengths to form a triangle, the sum of the shorter two must exceed the longest.
__
1)7 + 11 = 18 > 14 . . . . Will make a triangle.
__
2)2 + 8 = 10 . . . not greater than 10. Will not make a triangle.
__
This is a direct consequence of the triangle inequality, which requires for sides a, b, c that ...
a +b > c and b +c > a and c +a > b
_____
Additional comment
There is a version of the triangle inequality that uses the ≥ comparison, rather than >. If that is the version of the inequality you are using, then both these sets of lengths will form a triangle. The second "triangle" will look like a line segment and have zero area.
Luna works at a party supply store. Today, she is filling balloons with helium for the store to sell. She accidentally overfilled the first few balloons and they popped! If t is the total number of balloons she filled, then t–3 is the number of balloons that can be sold. Luna filled 41 balloons today during her time at work.
How many of the balloons Luna filled today can be sold?
Answer:
x=36,y=108,z=72
Step-by-step explanation:
I've taken this test before
It's on the state mandated test as well so make sure to study quadratics
109, 94, 87, 103, 89, 112, 98, 115, 99 Find the minimum.
ANSWER ASAP PLEASE
Answer:
The minimum is 87
Step-by-step explanation:
The minimum is the lowest number that you can see. 87 is the minimum because it is the lowest of all numbers listed
Answer:
87
Step-by-step explanation:
Put them in order
87, 89, 94, 98, 99, 103, 109, 112, 115
Minimum = The least
The least = 87
Select the correct answer from each drop-down menu.
complete the statements about this function
f(x)= -2\x+1| + 2.
the vertex of the function is la
on the interval (-1,0), the function is
as x approaches positive infinity, the function approaches
infinity
The vertex of the function is a maximum and on the interval (-1,0), the function approaches negative infinity as x approaches positive infinity
How to interpret the function?The function is given as:
f(x)= -2|x+1| + 2
The above function is an absolute value function
An absolute value function is represented as:
y = a|x - h| + k
Where the vertex is:
Vertex = (h, k)
When a is less than 0, then the vertex is at maximum
By comparison, we have:
a = -2
(h,k) = (-1, 2)
-2 is less than 0
Hence, the vertex of the function is a maximum and on the interval (-1,0), the function approaches negative infinity as x approaches positive infinity
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HELP!!!! NO ABSURD ANSWERS IF YOU DON'T WANT TO GET YOURSELVES REPORTED!! NEED HELP AS SOON AS POSSIBLE!!!!
What is the circumference of a circle with a radius of 3 and a diameter of 14?
PLSSSSS
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What is the circumference of a circle with a radius of 3 and a diameter of 14?
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
Formula for Circumference of a circle:-[tex]\bold{Circumference_{(circle)}=\pi d}[/tex]
First, we multiply the radius times 2 in order to get the diameter (the radius is exactly one-half of the diameter).
Now, we substitute 6 (3•2) for d:-
[tex]\sf{C=\pi *6}[/tex] [π=3.14]
[tex]\bigstar[/tex]On simplification,
[tex]\sf{C=3.14\times6}[/tex]
[tex]\bigstar[/tex] Which results in
[tex]\sf{C=18.84\:cm}[/tex]
[tex]\rule{200}{2}[/tex]
Now, let's find the circumference of a circle whose diameter is 14:
[tex]\sf{C=\pi d}[/tex]
Substitute 14 for d:-
[tex]\sf{C=14\pi }[/tex] Next, substitute 3.14 for pi:-
[tex]\sf{C=14\times3.14}[/tex]
[tex]\bigstar[/tex] Which results in:-
[tex]\sf{C=43.96\:units}[/tex]
Good luck with your studies.[tex]\rule{290}{2}[/tex]
PLEASE HELP ME IM IN A HURRY RN
Answer:
x=-32
Step-by-step explanation:
its the last one
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Which graph represents the function f(x) = x| - 2'
Answer:
the function of y =×+1 is equal to (×,-4)
The graph that has the thinnest triangle is the correct one or C.
Step-by-step explanation:
What is 8.92 cm² Converted To Meters?
[tex]8.92 ~ \text{cm}^2\\\\=8.92 \times \left( 1 ~ \text{cm} \right)^2\\\\=8.92 \times \left(10^{-2}~ \text{m} \right)^2~~~~~~;\left[1~ \text{cm} = \dfrac{1}{100}~ \text m} = 10^{-2}~ \text{ m} \right]\\\\=8.92 \times 10^{-4}~ \text{m}^2\\\\=0.000892~ \text{m}^2[/tex]
