Question

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

Answer 1

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

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