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Transformations of Parent Functions

Authored by Lindsay Clark

Mathematics

10th - 12th Grade

CCSS covered

Used 4+ times

Transformations of Parent Functions
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14 questions

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1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Write the equation of the absolute value parent function that has been shifted right 15 units, down 3 units, and reflected across the x-axis.

y = x 15+ 3y\ =\ \left|-x\ -\ 15\right|+\ 3

y = x + 15 3y\ =\ -\left|x\ +\ 15\right|\ -\ 3

y = x + 15+ 3y\ =\ \left|-x\ +\ 15\right|+\ 3

y = x 15 3y\ =\ -\left|x\ -\ 15\right|\ -\ 3

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

If the blue graph represents

 f(x) = x2 f\left(x\right)\ =\ x^{2\ }  , which equation represents the red graph?

 g(x) = x2  3g\left(x\right)\ =\ x^2\ -\ 3  

 g(x) = (x+3)2g\left(x\right)\ =\ \left(x+3\right)^2  

 g(x) = (x3)2g\left(x\right)\ =\ \left(x-3\right)^2  

 g(x) = x2 + 3g\left(x\right)\ =\ x^2\ +\ 3  

3.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Describe the transformations of the given quartic equation:

 y = 12(x+1)4  3y\ =\ \frac{1}{2}\left(x+1\right)^4\ -\ 3  

Stretch of 1/2, left 1 units, down 3 units

Compression of 1/2, left 1 unit, down 3 units

Compression of 1/2, right 1 units, down 3 units

Stretch of 1/2, right 1 units, down 3 units

Tags

CCSS.HSF.BF.B.3

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

Which equation matches the given graph?

y = x + 2 1y\ =\ \left|x\ +\ 2\right|\ -\ 1

y = x 2 1y\ =\ -\left|x\ -\ 2\right|\ -\ 1

y = x+2 1y\ =\ -\left|x+2\right|\ -\ 1

y = x+1 2y\ =\ -\left|x+1\right|\ -\ 2

Tags

CCSS.HSF-IF.C.7D

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Which parent function's graph is shown?

Exponential Function

Square Root Function

Logarithmic Function

Quadratic Function

6.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

Which color graph represents the equation:

 f(x) = 3x + 5f\left(x\right)\ =\ ^3\sqrt{x\ +\ 5}  

Red

Black

Green

None of the graphs

Tags

CCSS.HSF-IF.C.7B

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

Which of the following is the correct equation for the BLUE graph?

y = x 2y\ =\ \sqrt{x}\ -\ 2

y = x + 2y\ =\ \sqrt{x}\ +\ 2

y = x2y\ =\ \sqrt{x-2}

y = x+2y\ =\ \sqrt{x+2}

Tags

CCSS.HSF-IF.C.7B

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