I need a jump start in setting up the equations etc when solving for vertex, line of symmetry and deciding maximum/minimum This is the problem I am starting with

Question

f(x)= -2x^2+2x+8 We are looking for the vertex, line of symmetry and the max/minimum I cannot seem to get this started. Thank you

Answer 1

Rewrite f(x) by completing the square:

f(x) = -2(x^2 - x + 1/4) + 8.5
= -2 (x - 1/2)^2 + 8.5

The vertex is where f(x) has its maximum value. This is where x = 1/2. At that x value, f(x) = 8.5

There is no minimum value.

The function is symmetrical about the x = 1/2 vertical line

Answer 2

ok it says 1-x=y and then a graph its equations