MATH SOLVE

5 months ago

Q:
# In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x2 to the number of x-intercepts in the graph of g(x) = -x2 -5. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).

Accepted Solution

A:

Hi there!

A graph of the parabolas are show below.

There is one x intercept on the function f(x) = x^2 (the origin).

There are two x intercepts on the function g(x) = -x^2 - 5.

From the first function to the next, the function is flipped and the vertex is lowered by 5 on the y axis.

Hope this helps!

A graph of the parabolas are show below.

There is one x intercept on the function f(x) = x^2 (the origin).

There are two x intercepts on the function g(x) = -x^2 - 5.

From the first function to the next, the function is flipped and the vertex is lowered by 5 on the y axis.

Hope this helps!