Translations of Quadratic Functions

Translations of Quadratic Functions

Assessment

Assessment

Created by

Carlye Snider

Mathematics

9th Grade - University

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6 questions

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1.

Multiple Choice

5 mins

1 pt

Given the parent function

 f(x) =x2 f\left(x\right)\ =x^{2\ } , write the equation of the function with the given transformation. 

Left 7 and Up 4

 f(x)=(x7)2 + 4f\left(x\right)=\left(x-7\right)^{2\ }+\ 4  

 f(x) = (x+7)2 +4f\left(x\right)\ =\ \left(x+7\right)^{2\ }+4  

 f(x)=(x+7)2 4f\left(x\right)=\left(x+7\right)^{2\ }-4  

 f(x) = (x7)2 4f\left(x\right)\ =\ \left(x-7\right)^{2\ }-4  

2.

Multiple Choice

5 mins

1 pt

Given the parent function

 f(x) = x2 f\left(x\right)\ =\ x^{2\ }  , how was the parent function transformed to create the new function?  

 f(x) = 13(x5)2 +7f\left(x\right)\ =\ \frac{1}{3}\left(x-5\right)^{2\ }+7  

Horizontal dilation of 3, left 5, and down 7.

Vertical dilation of 3, right 5, and up 7.

Vertical dilation of 1/3, right 5, and up 7.

Horizontal dilation of 1/3, left 5, and down 7.

3.

Multiple Choice

5 mins

1 pt

Given the parent function

 f(x) =x2 f\left(x\right)\ =x^{2\ } , write the equation of the function with the given transformation. 

Vertical dilation of 4, left 3, down 5.

 f(x)=14(x3)2 + 5f\left(x\right)=\frac{1}{4}\left(x-3\right)^{2\ }+\ 5  

 f(x) = 4(x+3)2 5f\left(x\right)\ =\ 4\left(x+3\right)^{2\ }-5  

 f(x)=14(x+5)2 3f\left(x\right)=\frac{1}{4}\left(x+5\right)^{2\ }-3  

 f(x) = (14x+3)2 5f\left(x\right)\ =\ \left(\frac{1}{4}x+3\right)^{2\ }-5  

4.

Multiple Choice

5 mins

1 pt

Given the parent function

 f(x) = x2 f\left(x\right)\ =\ x^{2\ }  , how was the parent function transformed to create the new function?  

 f(x) = (13x7)2 8f\left(x\right)\ =\ \left(\frac{1}{3}x-7\right)^{2\ }-8  

Horizontal dilation of 3, right 7, and down 8.

Vertical dilation of 1/3, up 7, and right 8.

Horizontal dilation of 1/3, right 7, down 8.

Vertical dilation of 3, right 7, down 8.

5.

Multiple Choice

5 mins

1 pt

Given the parent function

 f(x) =x2 f\left(x\right)\ =x^{2\ } , write the equation of the function with the given transformation. 

Horizontal dilation 1/7, left 2, up 5.

 f(x)=(7x2)2 +5f\left(x\right)=\left(7x-2\right)^{2\ }+5  

 f(x) = (17x+2)2 +5f\left(x\right)\ =\ \left(\frac{1}{7}x+2\right)^{2\ }+5  

 f(x)=17(x+2)2 +5f\left(x\right)=\frac{1}{7}\left(x+2\right)^{2\ }+5  

 f(x) = (7x+2)2 +5f\left(x\right)\ =\ \left(7x+2\right)^{2\ }+5  

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