Question

How do I use the vertex formula to determine the vertex of the graph for `f(x) = 2x^2 − 3x + 8`?

Answer 1

`(-b/2a) = 3/4`

`f(3/4) = 2(9/16) - 3(3/4) + 8 = 55/8`

Vertex form:`f(x) = 2(x - 3/4)^2 + 55/8`

Check:
Develop:# 2(x^2 - 3x/2 + 9/16) + 55/8 = 2x^2 - 3x + 9/8 + 55/8

= 2x^2 - 3x + 8#