Question

convert the equation from vertex form to standard form y = -4 (x + 5)^2 - 3

Answer 1

Start with y = -4(x + 5)^2 - 3.

Expand (x + 5)^2 = x^2 + 10x + 25:

y = -4(x^2 + 10x + 25) - 3
y = -4x^2 - 40x - 100 - 3
y = -4x^2 - 40x - 103

So the standard form is y = -4x^2 - 40x - 103.