Standard from form this one is a bit more involved You to co

Standard from form this one is a bit more involved. You to complete the square to get these. Follow this example: Re-write each fraction in vertex form. y = -x^2 + Bx - 12 y = 2x^2 - 4x + 1 y = -x^2 + 2x + 3 y = 3x^2 + 18x + 23 y = -2x^2 + 16 x - 29 y = x^2 + 8x + 19

Solution

23) Given y = -x² + 8x - 12

Need to write in vertex form.

y = -x² + 8x - 12

y + 12 = -x² + 8x

Subtract 16 on bothsides.

y + 12 - 16 = -x² + 8x - 16

y - 4 = -(x² - 8x + 16)

y - 4 = -(x-4)².

y =  -(x-4)² + 4

Therefore, vertex form of the given equation is y =  -(x-4)² + 4