Write an equation in vertex form of the parabola that passes through (4, 20) and has a vertex of (1, 2). *

Question

Write an equation in vertex form of the parabola that passes through (4, 20) and has a vertex of (1, 2). *

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Alexandra 2 weeks 2022-01-11T00:17:18+00:00 1 Answer 0 views 0

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    2022-01-11T00:18:33+00:00

    Answer:

    y=2(x-1)^2 +2

    Step-by-step explanation:

    + Because the vertex (1,2), then the equation is y = a(x-1)^2 +2 for a real number a different of 0.

    + And the parabola that passes through (4, 20), we have: x=4, y=20

    20=a(4-1)^2 + 2

    20= 9a+2

    9a=20-2

    9a = 18

    a = 18/9 = 2.

    Then a=2.

    Hope you understand.

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