Question 1

Remember: When shifting a rational graph to the left 5, does the vertical asymptote change? If so, how?

Accepted Answer

Yes, it moves left 5

Answer

No

Answer

Yes, it moves right 5

Question 2

Comprehend: Which is an accurate statement when comparing the transformations occurring in $f(x)$ and $g(x)$. $f(x)=\frac{1}{x+3}-2$ and $g(x)=\frac{2}{x+2}+2$

Accepted Answer

$f(x)$ has a vertical translation down 2 while $g(x)$ has a vertical translation up 2.

Answer

$f(x)$ has a horizontal translation right 2 while $g(x)$ has a horizontal translation right 3.

Answer

$f(x)$ has no vertical stretch/compression while $g(x)$ has a vertical compression of 2.

Question 3

Apply: Write the equation of the parent function $f(x)=\frac{1}{x}$, after a translation of 3 to the left and 5 down.

Accepted Answer

$f(x)=\frac{1}{x+3}-5$

Answer

$f(x)=\frac{1}{x-3}+5$

Answer

$f(x)=\frac{1}{x-3}-5$

Answer

$f(x)=\frac{1}{x+3}+5$

Question 4

Describe the transformation from the parent function $f(x)=\frac{1}{x}$ of $g(x)=\frac{1}{x-7}+9$

Accepted Answer

Shift right 7 and up 9

Answer

Shift right 9 and up 7

Answer

Shift left 9 and down 7

Answer

Shift left 7 and down 9

Question 5

If the graph of the parent rational function is vertically stretched by 8, does that represent the value of a, h, or k?

Accepted Answer

a

Answer

h

Answer

k

Question 6

When you reflect the parent rational function across the x-axis, does it change the domain, range, both, or neither?

Accepted Answer

Neither

Answer

Domain

Answer

Range

Answer

both

Question 7

Explain how the asymptotes of the parent function change when graphing this transformation: $f(x)=\frac{-2}{x+7}+8$

Accepted Answer

The V.A. shifts left 7 and the H.A. shifts up 8.

Answer

The V.A. shifts down 2 and the H.A. shifts up 8

Answer

The V.A. shifts up 8 and the H.A. shifts left 7

Answer

The Asymptotes do not change

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