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