WHO IS GOOD AT MATH??! PLEASE HELP! Describe how to change an equation to translate a parabola vertically.

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WHO IS GOOD AT MATH??! PLEASE HELP!

Describe how to change an equation to translate a parabola vertically.

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Lệ Thu 5 years 2021-07-27T10:56:31+00:00 1 Answers 134 views 0

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  1. Sigrid
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    2021-07-27T10:58:02+00:00
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    Answer:

    See below.

    Step-by-step explanation:

    Equation of parabola:

    y = some expression in x^2

    To translate the parabola vertically, substitute y with y – k.

    The translation is k units vertically. If k is positive, the translation is up. If k is negative the translation is down.

    Example 1:

    original parabola: y = x^2 – 2x + 5

    To translate it 3 units up, we need k = 3.

    Substitute y with y – 5 to get

    y – 3 = x^2 – 2x + 5

    y = x^2 – 2x + 8 is the equation of the parabola translated 3 units up.

    Example 2:

    original parabola: y = 2x^2 + 4x – 6

    To translate it 5 units down, we need k = -5.

    Substitute y with y – (-5), or y = 5 to get

    y + 5 = 2x^2 + 4x – 6

    y = 2x^2 + 4x – 11

    y = 2x^2 + 4x – 11 is the equation of the parabola translated 5 units down.

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