Question

Find the vertex and axis of symmetry

Answer 1

Below in bold.

Explanation:

f(x) = 2x^2 - 12x + 24

Convert to vertex form:

f(x) = 2(x^2 - 6x) + 24

= 2[(x - 3)^2 - 9] + 24

= 2(x - 3)^2 - 18 + 24

= 2(x - 3)^2 + 6

So the vertex is at (3, 6) and the axis of symmetry is x = 3.