Question

What is the vertex for of the equation

Y=-x2 + 12x-4

Answer 1

y = -x²+12x-4

factorise

-(x²+12x) = -(x-6)²

-(x-6)² = -(x²-12x+36)

-(x²-12x+36-36)-4= -(x²-6)-4 = (x²+6x)+32

y =-(x-6)²+32

vertex for the equation y = -x^2 + 12x - 4 → (6, 32)

Explanation: