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Question 1 of 5: Answer the given question:
$$f(x)=x^2$$ $$g(x)=-5x^2$$ How can we graph g(x) based on f(x)?
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
Horizontally compress f(x) by a factor of 5, then reflect the graph across the x-axis
B
Vertically stretch f(x) by a factor of 5, then reflect the graph across the x-axis
C
Horizontally stretch f(x) by a factor of 5, then reflect the graph across the y-axis
D
Vertically compress f(x) by a factor of 5, then reflect the graph across the x-axis
E
Vertically stretch f(x) by a factor of 5, then reflect the graph across the y-axis
Question 2 of 5: Answer the given question:
$$f(x)=x^3 - x^2 - x$$ $$g(x)=f(-3x)$$ How can we graph g(x) based on f(x)?
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
Horizontally stretch f(x) by a factor of 3, then reflect the graph across the x-axis
B
Horizontally compress f(x) by a factor of 3, then reflect the graph across the y-axis
C
Vertically compress f(x) by a factor of 3, then reflect the graph across the x-axis
D
Vertically stretch f(x) by a factor of 3, then reflect the graph across the y-axis
E
Horizontally stretch f(x) by a factor of 3, then reflect the graph across the y-axis
Question 3 of 5: Answer the given question:
$$f(x)=\sqrt{x}$$$$g(x)=f(-7x)$$ (x,y) on the graph of f(x), will be located where on the graph of g(x)?
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$(-x, 7y)$$
B
$$(-7x, -7y)$$
C
$$\left(-\frac{1}{7}x, y\right)$$
D
$$(7x, -y)$$
E
$$\left(x, -\frac{1}{7}y\right)$$
Question 4 of 5: Answer the given question:
$$f(x)=x^3 - x$$ Find the function g(x) that is obtained from the following transformations.
  1. Vertically stretched by a factor of 3
  2. Reflected across the y-axis
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$g(x)=3x^{27}- 9x^2$$
B
$$g(x)=-3x^3 - 3x$$
C
$$g(x)=-3x^3 + 3x$$
D
$$g(x)=3x^3 + 3x$$
E
$$g(x)=-3x^{27}+ 9x^2$$
Question 5 of 5: Answer the given question:
graping f(x)=sqrt(x) and -sqrt(-x) What is g(x) in terms of f(x)?
Finish »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$g(x)=-f(-x)$$
B
$$g(x)=f(-x)$$
C
$$g(x)=-f(x)$$
D
$$g(x)=f\left(\frac{1}{2}x\right)$$
E
$$g(x)=-f(-2x)$$

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