The vertex form of the equation if a parabola is y = 3(x – 4)^2 – 22. What is the standard form of the equation? A.) Y = 9

Question

The vertex form of the equation if a parabola is y = 3(x – 4)^2 – 22. What is the standard form of the equation?

A.) Y = 9x^2 – 26

B.) Y = 3x^2 – 18

C.) Y = 3x^2 – 24x + 26

D.) Y = 3x^2 – 24x + 4

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Ivy 3 weeks 2021-11-15T09:06:16+00:00 1 Answer 0 views 0

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    2021-11-15T09:07:41+00:00

    Answer:

    The answer is (C) Y = 3x² – 24x + 18

    Step-by-step explanation:

    Y = 3(x-4)² – 22

    First step is to simplify (x-4)²

    ⇒ Y= 3(x-4)(x-4)-22

    ⇒ Y= 3(x²- 4x – 4x + 16) – 22 = 3(x² – 8x + 16) – 22

    Next step is to open the parenthesis

    ⇒ Y = 3x² – 24x + 48 – 22

    The final step is to collect like terms and simplify the equation

    ⇒ Y = 3x² – 24x + 26

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45:7+7-4:2-5:5*4+35:2 =? ( )