Question 1 of 5: Match the graph to its function:
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 5: Match the graph to its function:
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 5: Match the graph to its function:
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 5: Find the transformation from f(x) to g(x):
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 5: Find the transformation from f(x) to g(x):
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