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Question 1 of 5: Transform f(x) as described to find g(x):
$$f(x)=x^2$$ Vertically stretch by a factor of 5.
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$g(x)=(5x)^2$$
B
$$g(x)=\left(\frac{1}{5}x\right)^2$$
C
$$g(x)=\frac{1}{5}x^2$$
D
$$g(x)=50x^2$$
E
$$g(x)=5x^2$$
Question 2 of 5: Transform f(x) as described to find g(x):
$$f(x)=\sqrt[3]{x}$$ Horizontally compress by a factor of 3.
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$g(x)=3\sqrt[3]{x}$$
B
$$g(x)=\frac{1}{3}\sqrt[3]{x}$$
C
$$g(x)=\sqrt[3]{3x}$$
D
$$g(x)=\sqrt[3]{\frac{1}{3}x}$$
E
$$g(x)=\sqrt[3]{9x}$$
Question 3 of 5: Answer the given question:
$$f(x)=2 - x^3$$ $$g(x)=f(3x)$$ How does the graph of g(x) compare to the graph of f(x)?
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
horizontally compressed by a factor of 3
B
horizontally stretched by a factor of 3
C
horizontally compressed by a factor of 27
D
vertically stretched by a factor of 3
E
vertically compressed by a factor of 3
Question 4 of 5: Answer the given question:
$$f(x)=x^3 - 2x$$ $$g(x)=\frac{1}{3}f(x)$$ How does the graph of g(x) compare to the graph of f(x)?
Next »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
horizontally stretched by a factor of 3
B
horizontally compressed by a factor of 3
C
vertically compressed by a factor of 3
D
vertically stretched by a factor of 3
E
vertically stretched by a factor of 27
Question 5 of 5: Answer the given question:
$$f(x)=x^3 - 5x$$ $$g(x)=f(5x)$$ Based on f(x), for a given y-value, how could we obtain the x-values for g(x)?
Finish »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\left(\frac{1}{5}x, y\right)$$
B
$$(5x, y)$$
C
$$(x + 5, y)$$
D
$$(x^5, y)$$
E
$$\left(x + \frac{1}{5}, y\right)$$

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