Question

The vertex form of the equation of a parabola is y=6(x-2)2-8. What is the standard form of the equation?

Answer 1

The answer is D!!!

y=6x^2-24x+16

Answer 2

Option 4 -
`y=6x^2-24x+16`

Explanation:

Given : The vertex form of the equation of a parabola is
`y=6(x-2)^2-8`

To find : What is the standard form of the equation?

Solution :

The vertex form of the equation of a parabola is
`y=6(x-2)^2-8`

We solve the equation to get standard form,

`y=6(x^2-2^2-2(x)(2))-8`

`y=6(x^2+4-4x)-8`

`y=6x^2+24-24x-8`

`y=6x^2-24x+16`

The standard form of the equation is
`y=6x^2-24x+16`

Therefore, Option 4 is correct.