Question

For the given quadratic equation convert into vertex form, find the vertex, and find the value for x=6. Show your work.

Answer 1

A quadratic equation has the general form of: 

y=ax² + bx + c

It can be converted to the vertex form in order to determine the vertex of the parabola. It has the standard form of:

y = a(x+h)² - k

where h, k are the vertex points.

y=-2x^2 + 2x+ 2
y=-2(x^2 - x) + 2
y + 1/4 = -2 (x^2 -x +1/4) + 2
y = -2 (x - 1/2)^2 + 7/4

Therefore, the vertex is (-1/2, -7/4)

at x = 6, y = -58