Question 1 of 5: Describe the transformation from f(x) to g(x):
Select the Correct Answer: Correct! 
Not Correct! 
Not Correct! 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:
Select the Correct Answer: Correct! Not Correct!
Not Correct! 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:
Select the Correct Answer: Correct! Not Correct!
Not Correct! 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:
Select the Correct Answer: Correct! Not Correct!
Not Correct! 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:
$$f(x) = x^3 - 3x^2 - 9x + 27$$ Desmos Link for More Detail 
Select the Correct Answer: Correct! Not Correct!
Not Correct! 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: $$\text{None}$$
