Answer:
y = -2x² -12x + 32.
Step-by-step explanation:
Recall that a quadratic equation in standard form is:
y = ax² + bx + c.
To rewrite the equation in standard form, you will need to FOIL and distribute the -2. This can be done by:
y = -2(x-2)(x+8)
FOIL the factored part of the equation. Ignore the '-2' for now.
y = -2 (x² +6x -16)
Now, multiply the '-2' with all of the terms:
y = -2x² -12x + 32.
This is your equation in standard form!
