What is the vertex of this parabola? y= 2x² + 4x +5

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What is the vertex of this parabola? y= 2x² + 4x +5

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Ben Gia 4 years 2021-09-02T03:06:41+00:00 1 Answers 0 views 0

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    2021-09-02T03:08:20+00:00

    Answer:

    vertex = (- 1, 3 )

    Step-by-step explanation:

    Given a parabola in standard form

    y = ax² + bx + c ( a ≠ 0 )

    Then the x- coordinate of the vertex is

    x_{vertex} = – \frac{b}{2a}

    y = 2x² + 4x + 5 ← is in standard form

    with a = 2, b = 4, then

    x_{vertex} = – \frac{4}{4} = – 1

    Substitute x = – 1 into the equation for corresponding value of y, that is

    y = 2(- 1)² + 4(- 1) + 5 = 2 – 4 + 5 = 3

    vertex = (- 1, 3 )

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )