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

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The vertex form of the equation of a parabola is

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11.03.2022

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

Step-by-step 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.

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