Question

Re-write the quadratic function below in Standard Form
y= -4(x − 3)(x + 8)

Answer 1

To rewrite the quadratic function y = -4(x - 3)(x + 8) in standard form, we need to expand the expression using the distributive property and then simplify. The standard form of the quadratic function is y = -4x^2 - 20x + 96.

Step-by-step explanation:

To rewrite the quadratic function y = -4(x - 3)(x + 8) in standard form, we need to expand the expression using the distributive property and then simplify.

First, we apply the distributive property:
y = -4(x - 3)(x + 8) = -4(x^2 + 8x - 3x - 24)

Next, we simplify by combining like terms:
y = -4(x^2 + 5x - 24)

Lastly, we rewrite the expression in standard form by arranging the terms in descending order of exponents:
y = -4x^2 - 20x + 96