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.

Question

Mathematics

Ronnie Harvey

12 January, 18:08

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.

+3

Answers (1)

Know the Answer?

Lydia Thompson · Answer 1

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.