Which statements are true about the graph of the function h(x) = -5x2 + 60x - 200? select three options.
the axis of symmetry is the line x = -6.
the graph of h(x) will not intersect the graph of the parent function, f(x) = x2.
the vertex of the graph is at (6, -20).
the parabola has a maximum.
the value of k, when the equation is written in vertex form, is -200.

B, C and D

Step-by-step explanation:

The graph of the function h(x) is shown in attached diagram.

1. The vertex has coordinates:

Option C is true.

2. The axis of symmetry is vertical line which passes through the vertex, so its equation is x=6. Option A is false.

3. Since the graphs of the function h(x) and the parent function do not intersect, option B is true.

4. The parabola has a maximum - option D is true.

5. In vertex form, the equation is

Option E is false.

the answer is two. hope this !