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Question 1 of 5Match the graph to its function:
graphing an exponential function Points on the graph from left to right:
(-4,7), (-3, 3), (-2, 1), (-1, 0), (0, -0.5)
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$f(x)=\left(\frac{1}{2}\right)^{x - 1}- 1$$
B
$$f(x)=\left(\frac{1}{2}\right)^{\frac{1}{2}x}+ 1$$
C
$$f(x)=2^{x - 1}- 1$$
D
$$f(x)=\left(\frac{1}{2}\right)^{x + 1}- 1$$
E
$$f(x)=2^{x + 1}+ 1$$
Question 2 of 5Match the graph to its function:
graphing an exponential function Points on the graph from left to right:
(1, -2/3), (2, 0), (3, 2), (4, 8)
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$f(x)=\left(\frac{1}{3}\right)^{x - 2}- 1$$
B
$$f(x)=3^{x - 2}- 1$$
C
$$f(x)=3^{x + 2}+ 1$$
D
$$f(x)=3^{2x}- 1$$
E
$$f(x)=\left(\frac{1}{3}\right)^{\frac{1}{2}x}+ 1$$
Question 3 of 5Match the graph to its function:
graphing an exponential function Points on the graph from left to right:
(0, 2/3), (1, 0), (2, -2), (3, -8)
Next »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$f(x)=-3^{x - 1}+ 1$$
B
$$f(x)=-3^{x + 1}+ 1$$
C
$$f(x)=\left(-\frac{1}{3}\right)^{x - 1}+ 1$$
D
$$f(x)=\left(-\frac{1}{3}\right)^{3x}- 1$$
E
$$f(x)=\left(-\frac{1}{3}\right)^{\frac{1}{3}x - 1}- 1$$
Question 4 of 5Find the transformation from f(x) to g(x):
$$f(x)=5^x$$ $$g(x)=\frac{1}{3}\cdot 5^{x + 2}- 3$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
Shifted 2 units right, vertically compressed by a factor of 1/3, shifted up by 3 units
B
Shifted 2 units left, vertically compressed by a factor of 3, shifted down by 3 units
C
Shifted 2 units left, vertically stretched by a factor of 3, shifted up by 3 units
D
Shifted 1/2 units left, vertically stretched by a factor of 6, shifted down by 3 units
E
Shifted 1/3 units right, horizontally stretched by a factor of 2, shifted down by 3 units
Question 5 of 5Find the transformation from f(x) to g(x):
$$f(x)=\left(\frac{1}{4}\right)^x$$ $$g(x)=8 \cdot \left(\frac{1}{4}\right)^{x + 5}- 3$$
Finish »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
Shifted 8 units left, vertically stretched by a factor of 1/8, shifted down by 3 units
B
Shifted 5 units right, vertically compressed by a factor of 8, shifted down by 3 units
C
Shifted 5 units left, vertically stretched by a factor of 8, shifted down by 3 units
D
Shifted 3 units left, vertically stretched by a factor of 5, shifted up by 3 units
E
Shifted 3 units left, vertically compressed by a factor of 5, shifted down by 3 units

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