Question

Re-write the quadratic function below in Standard Form y=-3 (x - 2)² – 7

Answer 1

Answer:

$y=-3x^2+12x-19$

Step-by-step explanation:

we know that

The quadratic equation in standard form is equal to

$y=ax^{2} +bx+c$

we have

$y=-3(x-2)^{2}-7$

This is a quadratic equation in vertex form

Convert to standard form

$y=-3(x^2-4x+4)-7$

Apply distributive property

$y=-3x^2+12x-12-7$

Combine like terms

$y=-3x^2+12x-19$ ----> quadratic equation in standard form