write the equation for each translation of the graph of y=| 1/2x-2|+3
One unit up
one unit down

Answers

Answer 1

The equation for each translation of the graph of y=| 1/2x-2|+3 is

g(x)=| 1/2x-3/2|+3.

Given that,

[tex]y=| 1/2x-2|+3[/tex]

Translate the above one unit to the left

Replace y with f(x)

[tex]f(x)=| 1/2x-2|+3[/tex]

What is the meaning of translation?

A translation is a movement of the graph either horizontally parallel to the -axis or vertically parallel to the -axis.

When an absolute function is translated to the left, the resulting function is,

[tex]g(x)=f(x-h)[/tex]

Because it is been translated 1 unit to the left, h = -1

[tex]g(x)=f(x-(-1))[/tex]

[tex]g(x)=f(x+1)[/tex]

Now we calculate f(x+1)

[tex]f(x+1)=| 1/2(x+1)-2|+3[/tex]

[tex]f(x+1)=| 1/2x+1/2-2|+3\\f(x+1)=| 1/2x+1-4/2|+3\\[/tex]

[tex]f(x+1)=| 1/2x+(-3)/2|+3\\\\f(x+1)=| 1/2x-3/2|+3[/tex]

We have,g(x)=f(x+1)

[tex]g(x)=| 1/2x-3/2|+3[/tex]

To learn more about the translation visit:

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Related Questions

(2016 Q9 ) Which two expressions are equivalent?

Answers

Answer:

C

Step-by-step explanation:

C has the only two equivalent expressions.

Answer C

PS. If wrong let me know. If not, five stars, thanks and Brainliest would be great. Glad I could help

5pts and the person who has the correct answer gets brainliest​

Answers

Answer:

4

Step-by-step explanation:

The one that weighs the less is 80

Pls give brainlest.

Answer:

EAsy 4

Step-by-step explanation:

What is 1/-7 as a whole number? Fast! please!

Answers

Answer:

I think this is correct.

Step-by-step explanation:

1/-7 =  -0.14285714285714

If you round it to the nearest hundredth, it will be -0.14.

I hope you meant negative :)

-0.143 would be the answer, this isn’t specific, it is more rounded

brainlest if it’s right

Answers

24 times would be used to cover the top of the book.
6 x 4 + 24
the correct answer is 24.

Given the function f(x)=5x+4, find f(x-2)

Answers

Answer:

5x - 6

Step-by-step explanation:

f(x) = 5x + 4

f(x-2) = 5(x -2) + 4

f(x-2) = 5x - 10 + 4

f(x-2) = 5x - 6

I hope this helps!

Answer:

5x - 6

Step-by-step explanation:

Plug in x-2 to the function:

f(x - 2) = 5(x - 2) + 4

= 5x - 10 + 4

= 5x - 6

Find the value of x. please explain and show your work.

top(50) left side(24) bottom(32) right side (x)

Answers

Answer:

30

Step-by-step explanation:

use Pythagoras theorem

hypothenuse of bottom triangle =√24^2+32^2 = 40

x =√50^2-40^2 = 30

The red figure is similar to the blue figure. Describe a sequence of transformations
in which the blue figure is the image of the red figure.

(just one sequence needed)

*WILL GIVE BRAINLIEST TO THE CORRECT ANSWER*

Answers

Answer:

3/8 is blue because since 5/8 is red there is only 3/8 left of the figure so it has to be 3/8 blue

Step-by-step explanation: TYYYYYYY

For what value of k will the following linear system have infinitely many solutions?
2a+b=-6, 6a+kb=-18

Answers

Answer:

K = 3

Explanation given below in the image,

I hope my answer helps you.

I get confused when there are boxes—
i also get stuck on fractions.. help

Answers

2.4x+2.8=10

Use inverse operations to find for x!

x= 3

The Answer is 2.4x+2.8=10 Hope this helped
Explained

negative number on a number line 2

Answers

I am pretty sure it is Point D

Answer:

point d is correct answer

Answer if u know please ASAP if correct and speedy I’ll give brainliest

Answers

Answer: tbh its not a

Step-by-step explanation: i just know

Answer:

Answer is C.      2, -4,

Step-by-step explanation:

Which is a solution to the linear inequality 2x-3y>6
A. (3,0)
B. (-3,1)
C. (3,-1)

Answers

Answer:

C ( 3,-1) is a solution

Step-by-step explanation:

2x-3y>6

Let x = 3

2(3) -3y >6

6 - 3y>6

Subtract 6

-3y >0

Divide by -3

-3y/-3 < 0/-3

y < 0

If x = 3 y must be less than 0

C ( 3,-1) is a solution

The answer is C.

Plug it into the equation.

2(3) - 3(-1) > 6

Simplify.

6 + 3 > 6

9 > 6

Since this is true, this is the answer.

PLS HELP I WILL CHOOSE BRAINLIEST

Answers

y=3x-3

Explanation:
because your using the formula y=max+b
b=the y-intercept

Bijou says the following steps can be used to find 0.62 of 7:

Step 1

Step 2

Step 3


Step 4


Change "of” to the multiplication symbol.

62 × 7 = 434

There are 0 decimal places in 7 and 2 decimal places in 0.62 for a total of 2 decimal places in the factors.

Move the decimal place in the product 2 places to the right to find the solution: 0.62 of 7 is 43,400.

In which step did she make her first error?

Step 1
Step 2
Step 3
Step 4

Answers

answer is step 1

Step-by-step explanation:

Answer:

I believe it's a, step one

Step-by-step explanation:

the term "of" in mathematics usually means division

Is anyone able to figure this out, I can't do this

Answers

Answer:

C. √2 - 1

Step-by-step explanation:

If we draw a square from the center of the large circle to the center of one of the small circles, we can see that the sides of the square are equal to the radius of the small circle (see attached diagram)

Let r = the radius of the small circle

Using Pythagoras' Theorem [tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

to find the diagonal of the square:

[tex]\implies r^2 + r^2 = c^2[/tex]

[tex]\implies 2r^2 = c^2[/tex]

[tex]\implies c=\sqrt{2r^2}[/tex]

So the diagonal of the square = [tex]\sqrt{2r^2}[/tex]

We are told that the radius of the large circle is 1:

⇒ Diagonal of square + r = 1

[tex]\implies \sqrt{2r^2}+r=1[/tex]

[tex]\implies \sqrt{2r^2}=1-r[/tex]

[tex]\implies 2r^2=(1-r)^2[/tex]

[tex]\implies 2r^2=1-2r+r^2[/tex]

[tex]\implies r^2+2r-1=0[/tex]

Using the quadratic formula to calculate r:

[tex]\implies r=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\implies r=\dfrac{-2\pm\sqrt{2^2-4(1)(-1)}}{2(1)}[/tex]

[tex]\implies r=\dfrac{-2\pm\sqrt{8}}{2}[/tex]

[tex]\implies r=-1\pm\sqrt{2}[/tex]

As distance is positive, [tex]r=-1+\sqrt{2}=\sqrt{2}-1[/tex]  only

The answer to your equation is C

plsplsplsplspslpslpslpslpslpslpspslsplsplsplsplsp helphelphelphelp mememememem

Answers

Dude Calm down you can just look it up

pls help me this is so frustrating

Answers

Answer:

x = 60°

Step-by-step explanation:

m∠EGD = m∠BGF = x°

The following m∠EGD, m∠DGC, m∠EGA lies on a straight line.

A straight line has total 180° interior angle.

solve:

m∠EGD + m∠DGC + m∠EGA = 180°x + 90° + 30° = 180°x + 120° = 180°x = 180° - 120°x = 60°

Sophia is 12 years old. Her Uncle Reynald tells her that if she adds 5 to her age, multiplies the sum by 3, and then subtracts 4 from the product, she will find his age. She tells him that his age equals the expression 12 + 5 × 3 − 4 . Is Sophia correct? Choose the correct answers from the drop-down menus. Sophia is incorrect/correct . Her uncle’s actual age is 24/35/47/51

Please help! Btw the / means or

Answers

Answer:

1) 24 of age

Step-by-step explanation:

Sophia's uncle Reynald is 24 years old

12+(5×3)-4

12+15=27-4=23

But the only closest option to the sum is 24.

The sum to this word problem is 24.

Answer:

Sophia's expression is incorrect because of the rule of equation telling you to multiply first and then subtract. the correct expression is (12+5)3-4 which would equal to 47

Step-by-step explanation:

PLEASE ANSWER FAST: What factor is represented by the yellow shading in the model? [Hint: Crossing the bold line means the whole number 1 and shading equals numerator]

(I will give brainliest to the correct question)

Answers

Answer 5/35
Explain 5 out of 35 are shaded yellow

You are going to draw 4 cards from a standard deck of 52 cards. How many different combinations of cards could you draw?

Answers

Answer:

Step-by-step explanation:

To start with we can consider how many possibilities there are for the first card which is obviously 52, as any one of the cards in the deck can be found on the top of the pile. The next card is a bit trickier as there are only 51 possible cards that it could be as the  first card takes up a spot. The third card now only has 50 possible cards it could and this continues all the way down to the last card.

is that good

You can make 208 different combinations






Explanation: To find the combinations you can multiply 52 and 4 and you should get 208

Lisa is working on plans for a 12-acre housing development. A park will [tex]2\frac{1}{2}[/tex] cover acres, and paved areas will take [tex]1\frac{3}{4}[/tex] acres. How many acres are left for home sites.

Answers

Answer:

Step-by-step explanation:

Here is the equation for this problem:

2 1/2 + 1 3/4 + x = 12

To add 2 1/2 and 1 3/4, revert the fractions into mixed numbers, and then change the denominator to the LCM (Lowest Common Denominator)

3/2 + 7/4 + x = 12

The lowest common denominator, in this case, is 4. 7/4 stays the same because the denominator is already 4, but we need to multiply the numerator and denominator of 3/2 by two to get the denominator to 4. (Whatever you do to the numerator, you have to do to the denominator, and vice versa)

3 x 2 = 6

2 x 2 = 4

Now, the equation looks like this:

6/4 + 7/4 + x = 12

Now add the fractions. The denominator stays the same, but the numerators are added together.

6/4 + 7/4 = 13/4

Now, you can revert 13/4 back to a mixed number

13/4 = 3 1/4

The equation should look like this now:

3 1/4 + x = 12

Now subtract 3 1/4 from both sides (Meaning subtract 3 1/4 from 3 1/4 to cancel it out and also subtract 3 1/4 from 12 as well)

12 - 3 1/4 = 8 3/4

Now, it should look like this:

x = 8 3/4

You could change the 8 3/4 into a decimal as well, which would look like this:

x = 8.75

Here is a summary of the whole equation:

2 1/2 +  1 3/4 + x = 12

3/2 + 7/4 + x = 12

6/4 + 7/4 + x = 12

13/4 + x = 12

3 1/4 (-3 1/4) + x = 12 (-3 1/4)

x = 8 3/4 or 8.75 acres

Answer:

Lisa has 8 3/4 acres left for home sites

There will be 7.75 acres of land left for home sites.

What is Mixed Fraction?

Mixed fractions are type of fractions which includes both a whole part and a fractional part.

It is of the form a [tex]\frac{b}{c}[/tex], where a is the whole part and b/c is the fractional part. This actually implies that a +  [tex]\frac{b}{c}[/tex]. So we can do the cross multiplication to change the mixed fraction into improper fraction.

Total land for housing development = 12 acres

Land covered by park = 2 [tex]\frac{1}{2}[/tex]

                                     = (2 × 2 + 1) / 2

                                     = 5/2 acres

Land covered by paved areas = 1 [tex]\frac{3}{4}[/tex]

                                                  = (1 × 4 + 3) / 4

                                                  = 7/4 acres

Total land covered by park and paved areas = [tex]\frac{5}{2}[/tex] + [tex]\frac{7}{4}[/tex]

                                                                           = [tex]\frac{10}{4}[/tex] + [tex]\frac{7}{4}[/tex]

                                                                           = [tex]\frac{17}{4}[/tex]

                                                                           = 4.25 acres

So the remaining land = 12 - ([tex]\frac{5}{2}[/tex] + [tex]\frac{7}{4}[/tex])

                                     = 12 - 4.25

                                     = 7.75 acres

Hence Lisa can build the home sites in the remaining 7.75 acres of land.

To learn more about Mixed Fractions, click :

https://brainly.com/question/29264210

#SPJ2

Please help i have been struggling with this

Answers

Answer:

When put into a decimal, the answer is 0.09 recurring.

Step-by-step explanation:

Divide the numerator by the denominator to convert a fraction to a decimal. The entire number stays to the left of the decimal when there is a mixed number.

answer all 3 for brainliest

Answers

5, 12, and 3.5 because if u do pie(3.15159…) timesthe radius and divide by 3 u get each answer

The high score for a video game is 36,480. Your current score is 34,280. Each dragonfly you catch is worth 1 point. You also get a 1000-point bonus for reaching 35,000 points. Select an inequality that represents the number d of dragonflies you must catch to earn a new high score. Then solve the inequality.
Which one is right?

Answers

Answer: Correct me if I am wrong, but since you chose the middle answer I will be awnsering that one

you will need to catch 1,000 more dragonfly so it will look like this

34,280 + 1000d + 1000 > 36,480

Name one reason thats makes a number Irrational?

Answers

Answer:

Step-by-step explanation:

A number is irrational if:

-it cannot be written as a ratio of two integers

-the decimal part goes on forever without repeating

-is a real number that is not rational

HELP I ONLY HAVE ONE MINUTE LEFT!!!
Which statements about this system of equations are true? Check all that apply.


A: The x-variable will be eliminated when adding the system of equations.

B: The y-variable will be eliminated when adding the system of equations.

C: The sum of the system of equations is Negative 8 x = 14.

D: x = 2

E: y = 3

F: There is only one solution to the system of equations.

Answers

Answer:

Step-by-step explanation:

b,d,e,f :)

D and E are the answers

Elliot runs on a school track so he can measure his running distance each day. The table below shows the number of miles he ran each day this week.

What is the total distance Elliot ran from Sunday through Friday? Show your work.

Elliot’s goal is to run a total of 20 miles per week. What is the minimum number of miles he should run on Saturday to meet his goal? Show work or write an explanation to support your answer.

Answers

Answer:

three and three fourths

Step-by-step explanation:

add all the numbers and subtract from 20

what is the peremeter and area of the photo below, also please show work .

Answers

Answer:

102.849

Step-by-step explanation:

the perimeter of the square is just 4 × 18.

for the semi-circle the perimeter should be R(pi + 2)

so the perimeter of a semi circle is 30.849

add both values for the final answer which is 102.849

What is the slope of the table.

Answers

Answer:

slope is -5

Step-by-step explanation:

The formula for slope is:

m = (y2 - y1)/(x2 - x1)

m = slope

y2 = y-coordinate of second point

y1 = y-coordinate of first point

x2 = x-coordinate of second point

x1 = x-coordinate of first point

We can choose our first and second points as any points on the table, but we will choose the first andd second points which are (-5,10) and (-3,0).

y2 = 0

y1 = 10

x2 = -3

x1 = -5

m = (0-10)/(-3-(-5))

m = (-10)/(-3+5)

m = (-10)/(2)

m = -5

First, rewrite 23/25 and9/10 so that they have a common denominator.
Then, use <, =, or > to order 23/25 and 9/10.

Answers

Answer:

The lowest common multiple of 10 and 25 is 50, so set that as the denominator.

9/10=45/50 (multiply by 5)

23/25=46/50 (multiply by 2)

46/50 > 45/50 therefore

23/25 > 9/10.

Hope this helps :)

Step-by-step explanation:

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