Question

In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = z2 to the

number of z-intercepts in the graph of g(x) = -22 – 5. Be sure to include the transformations that
occurred between the parent function f(x) and its image g(x).

Answer 1

There is only one x-intercept for f(x) and g(x), f(x) having a minimum value of zero and g(x) having a maximum value of zero. f(x)=0 when x=0, g(x)=0 when x=4.

g(x) is f(x) reflected about the about the x-axis and shifted to the right by 4 units.