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Question 1 of 5Answer the given question:
$$g(x)=f(7x)$$ 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
g(x) is vertically stretched when compared to f(x)
B
g(x) is vertically compressed when compared to f(x)
C
g(x) is horizontally stretched when compared to f(x)
D
g(x) is the same as f(x)
E
g(x) is horizontally compressed when compared to f(x)
Question 2 of 5Answer the given question:
$$f(x)=x^2$$ $$g(x)=5f(x)$$ 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
g(x) is vertically compressed when compared to f(x)
B
g(x) is horizontally stretched when compared to f(x)
C
g(x) is vertically stretched when compared to f(x)
D
g(x) is the same as f(x)
E
g(x) is horizontally compressed when compared to f(x)
Question 3 of 5Answer 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
g(x) is compressed horizontally, when compared to f(x)
B
g(x) is stretched horizontally, when compared to f(x)
C
g(x) is shifted left, when compared to f(x)
D
g(x) is shifted right, when compared to f(x)
E
g(x) is shifted up, when compared to f(x)
Question 4 of 5Answer 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)?
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
g(x) is stretched vertically, when compared to f(x)
B
g(x) is shifted up, when compared to f(x)
C
g(x) is compressed vertically, when compared to f(x)
D
g(x) is shifted down, when compared to f(x)
E
g(x) is shifted left, when compared to f(x)
Question 5 of 5Answer 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)?
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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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