Question

The graph of Fx), shown below, resembles the graph of G(x) = x2, but it has

Answer 1

Answer:

F(x) = -3(x + 2)² - 2

Step-by-step explanation:

In the picture attached, the graph is shown.

F(x) has the form a(x - h)² + k, where (h, k) is the vertex of the parabola. We can see in the graph that the vertex is located at (-2, -2), then F(x) = a(x + 2)² - 2. If a > 0 the parabola opens upward, if a < 0 the parabola opens downward. We can see in the graph that the parabola opens downward, then the correct answer is F(x) = -3(x + 2)² - 2