What transformations have occurred?

Reflected over x-axis and down 4 units

Reflected over x-axis and up 4 units

Reflected over x-axis and right 4 units

Reflected over x-axis and left 4 units

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected vertically.

y = − ∣ x − 15 ∣ − 3 y=-\left|x-15\right|-3 y = − ∣ x − 1 5 ∣ − 3

y = − ∣ x + 15 ∣ − 3 y=-\left|x+15\right|-3 y = − ∣ x + 1 5 ∣ − 3

y = 1 2 ∣ x + 3 ∣ − 15 y=\frac{1}{2}\left|x+3\right|-15 y = 2 1 ∣ x + 3 ∣ − 1 5

y = 1 2 ∣ x − 3 ∣ − 15 y=\frac{1}{2}\left|x-3\right|-15 y = 2 1 ∣ x − 3 ∣ − 1 5

y = ∣ − x − 15 ∣ − 3 y=\left|-x-15\right|-3 y = ∣ − x − 1 5 ∣ − 3

Let f ( x ) = x f\left(x\right)=\sqrt{x} f ( x ) = x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> and g ( x ) = − 3 x − 2 + 1 g\left(x\right)=-3\sqrt{x-2}+1 g ( x ) = − 3 x − 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + 1 . Describe g(x) in terms of f(x):

reflects over x axis, vertical stretch by 3, right 2, up 1

reflects over y axis, vertical compression by -3, left 2, up 1

reflects over x axis, vertical stretch by -3, left 2, up 1

reflects over y axis, vertical compression by 1/3, right 2, up 1

Transformations of Parent Functions Check

Authored by JENNA BARTHOLD

Mathematics

11th - 12th Grade

CCSS covered

Used 5+ times

Transformations of Parent Functions Check

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I

Left 4

Right 4

Up 4

Down 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Describe the transformation of the equation below:

y = I x + 3 I

Left 3

Right 3

Up 3

Down 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the transformation shown below:

y = IxI -5

Shifts left 5

Shifts right 5

Shifts up 5

Shifts down 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Describe the transformation of the equation below:

y = I x |+ 3

Left 3

Right 3

Up 3

Down 3

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following describes the horizontal and vertical translations of the following functions:
f(x) = |x + 4| - 9

Left 4
up 9

Left 4
Down 9

Right 4
up 9

Right 4
Down 9

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

MULTIPLE CHOICE QUESTION

1 min • 12 pts

Which equation below is a quadratic function translated left 4 units?

y = x² + 4

y = (x + 4)²

y = (x - 4)²

y = 4x²

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

y = x² + 2

y = -x² + 2

y = x² - 2

y = -(x + 2)²

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

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Transformations of Parent Functions Check

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I

Describe the transformation of the equation below:

y = I x + 3 I

What is the transformation shown below:

y = IxI -5

Describe the transformation of the equation below:

y = I x |+ 3

Which of the following describes the horizontal and vertical translations of the following functions:
f(x) = |x + 4| - 9

Which equation below is a quadratic function translated left 4 units?

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

Does y = 1/2|x| get wider or more narrow than the parent function y = |x|?

Does y = 5|x| get wider or more narrow than the parent function y = |x|?

What transformations have occurred?

Access all questions and much more by creating a free account

Similar Resources on Wayground

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Discover more resources for Mathematics

Transformations of Parent Functions Check

Describe the transformation of the equation below from the parent function of y = I x Iy = I x - 4 I

Describe the transformation of the equation below:y = I x + 3 I

What is the transformation shown below: y = IxI -5

Describe the transformation of the equation below:y = I x |+ 3

Which of the following describes the horizontal and vertical translations of the following functions:f(x) = |x + 4| - 9

Which equation below is a quadratic function translated left 4 units?

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

Does y = 1/2|x| get wider or more narrow than the parent function y = |x|?

Does y = 5|x| get wider or more narrow than the parent function y = |x|?

What transformations have occurred?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I

Describe the transformation of the equation below:

y = I x + 3 I

What is the transformation shown below:

y = IxI -5

Describe the transformation of the equation below:

y = I x |+ 3

Which of the following describes the horizontal and vertical translations of the following functions:
f(x) = |x + 4| - 9