Question

Re-write the quadratic function below in Standard Form

y=−(x−4)^2+8

Answer 1

1. Expand the squared term:
y = -((x-4)(x-4)) + 8

Expand:
y = -((x^2 - 8x + 16)) + 8

2. Distribute the negative sign:
y = -x^2 + 8x - 16 + 8

Simplify:
y = -x^2 + 8x -8

Re-write in standard form (x and y on the left with 0 on the right)
0 = -x^2 + 8x - y - 8