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

Popular Resources on Wayground

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