Part A. Identify the key features for one of the functions listed above. Function:
Key Features:
x-intercepts:
y-intercept:
vertex:
Is the vertex a maximum or minimum?:
vertical stretch/shrink:
Part B. Compare and contrast the key features of f(x) and g(x). A comparison of the two functions should include a
comparison of the x- and y-intercepts, vertex, whether the vertex is a maximum or minimum, and the vertical stretch/shrink.
Part C. Compare and contrast the key features of f(x) and h(x). A comparison of the two functions should include a
comparison of the x- and y-intercepts, vertex, whether the vertex is a maximum or minimum, and the vertical stretch/shrink.
Part D. Natalie and Roxana are comparing g(x) and h(x). Natalie says that because g(x) has a vertical stretch of 2 and
h(x) has a vertical stretch of -2, that the impact on the graph's widths must be opposite. She says g(x) is twice as narrow
as the y = x2 parent function, while the h(x) function is twice as wide as the y = x2 parent function. Roxana disagrees with
Natalie. She says the functions are equally narrow. Who is correct?