Question

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 +7. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).

Answer 1

The function started facing up with a vertex at (0, 0). Since 7 was added before squaring, the graph shifts 7 units up so the vertex at (7, 0). Also, the function is negative so the graph is pointing down

This means that there are two x-intercepts in g(x) and there was one x-intercept in f(x).

Explanation:

used this and it was right.

Answer 2

Explanation:

The function f(x) = x^2 has only one x-intercept which means only {0} is the only number that makes y zero.

The second function g(x) = (x-2)^2 -3 has also one x-intercept, {3.732} which will make the value of y, zero.