Question

The function h(x) = –2x2 + 8x written in vertex form is h(x) = –2(x – 2)2 + 8. The function h(x) is shown on the graph along with the parent function, f(x) = x2.

Which statement is true concerning the vertex and axis of symmetry of h(x)?

The vertex is at (0, 0) and the axis of symmetry is x = 2.
The vertex is at (0, 0) and the axis of symmetry is y= 2.
The vertex is at (2, 8) and the axis of symmetry is x = 2.
The vertex is at (2, 2) and the axis of symmetry is y = 2.

Answer 1

Answer: C. The vertex is at (2, 8) and the axis of symmetry is x = 2.

Explanation:

This answer is 100% correct for edge.nuity users and also e2020.

Answer 2

The general vertex form of a quadratic function is this: h(x) = -a(x-h) + k.
The vertex is at (h,k) and the axis of symmetry is at x=h.

Using this, the true statement among the choices is this:
The vertex is at (2, 8) and the axis of symmetry is x = 2.