What is the vertex form of y=-2×2+4x + 3?

Question

What is the vertex form of y=-2×2+4x + 3?

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Amaya 3 weeks 2021-09-22T11:22:15+00:00 1 Answer 0

Answers ( )

    0
    2021-09-22T11:23:38+00:00

    Answer:

    y=-2(x-1)^2+5

    Step-by-step explanation:

    we have

    y=-2x^2+4x+3

    This is the equation of a vertical parabola open downward

    The vertex represent a maximum

    Convert the quadratic equation into vertex form

    step 1

    Factor -2

    y=-2(x^2-2x)+3

    step 2

    Complete the square

    y=-2(x^2-2x+1)+3+2

    y=-2(x^2-2x+1)+5

    step 3

    Rewrite as perfect squares

    y=-2(x-1)^2+5 —-> equation in vertex form

    The vertex is the point (1,5)

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