Question 1 of 5: Describe the transformation from f(x) to g(x):

A

Vertically stretched by a factor of 3, horizontally compressed by a factor of 2, shifted right 7 units, and shifted down 1 unit

B

Vertically compressed by a factor of 3, horizontally compressed by a factor of 2, shifted right 7/2 units, and shifted down 1 unit

C

Vertically stretched by a factor of 3, horizontally compressed by a factor of 2, shifted right 7/2 units, and shifted down 1 unit

D

Vertically stretched by a factor of 3, horizontally stretched by a factor of 2, shifted left 7 units, and shifted down 1 unit

E

Vertically compressed by a factor of 3, horizontally stretched by a factor of 2, shifted right 7 units, and shifted down 1 unit

Question 2 of 5: Describe the end behavior:

A

Inconclusive

B

Rises to the left and falls to the right

C

Rises to the left and rises to the right

D

Falls to the left and rises to the right

E

Falls to the left and falls to the right

Question 3 of 5: Describe the end behavior:

A

Rises to the left and rises to the right

B

Rises to the left and falls to the right

C

Falls to the left and falls to the right

D

Falls to the left and rises to the right

E

Inconclusive

Question 4 of 5: Identify the x-intercepts and their shape on the graph:

A

x-intercept: (3, 0), shape: cross through the x-axis

x-intercept: (7, 0), shape: cross through the x-axis

x-intercept: (1, 0), shape: touch the x-axis and turn around

x-intercept: (7, 0), shape: cross through the x-axis

x-intercept: (1, 0), shape: touch the x-axis and turn around

B

x-intercept: (-3, 0), shape: touch the x-axis and turn around

x-intercept: (-7, 0), shape: cross through the x-axis

x-intercept: (-1, 0), shape: touch the x-axis and turn around

x-intercept: (-7, 0), shape: cross through the x-axis

x-intercept: (-1, 0), shape: touch the x-axis and turn around

C

x-intercept: (3, 0), shape: touch the x-axis and turn around

x-intercept: (7, 0), shape: cross through the x-axis

x-intercept: (1, 0), shape: touch the x-axis and turn around

x-intercept: (7, 0), shape: cross through the x-axis

x-intercept: (1, 0), shape: touch the x-axis and turn around

D

x-intercept: (-3, 0), shape: cross through the x-axis

x-intercept: (-7, 0), shape: touch the x-axis and turn around

x-intercept: (-1, 0), shape: cross through the x-axis

x-intercept: (-7, 0), shape: touch the x-axis and turn around

x-intercept: (-1, 0), shape: cross through the x-axis

E

x-intercept: (3, 0), shape: cross through the x-axis

x-intercept: (7, 0), shape: touch the x-axis and turn around

x-intercept: (1, 0), shape: cross through the x-axis

x-intercept: (7, 0), shape: touch the x-axis and turn around

x-intercept: (1, 0), shape: cross through the x-axis

Question 5 of 5: Use the graph to identify the local extrema:

A

Local Minimum Points: $$(-1, 32)$$ Local Maximum Points: $$(3, 0)$$

B

Local Minimum Points: $$(3, 0)$$ Local Maximum Points: $$(-1, 32)$$

C

Local Minimum Points: $$(-3, 0), (3, 0)$$ Local Maximum Points: $$(-1, 32)$$

D

Local Minimum Points: $$(-1, 32)$$ Local Maximum Points: $$(-3, 0), (3, 0)$$

E

Local Minimum Points: $$(-3, 0), (3, 0)$$ Local Maximum Points: $$\text{None}$$