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Math Help - Equation of absolute an absolute value function

  1. #1
    Senior Member vaironxxrd's Avatar
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    Equation of absolute an absolute value function

    Hello forum, Vaironxxrd here.
    I missed a day school and some content in Algebra 2.

    I'm required to make an equation using a given vertex and a given point.

    Vertex = (0,1)
    Crosses through(1,-2)

    I would say the equation is y=2|x-0|+1
    Is this wrong?
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  2. #2
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    earboth's Avatar
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    Re: Equation of absolute an absolute value function

    Quote Originally Posted by vaironxxrd View Post
    Hello forum, Vaironxxrd here.
    I missed a day school and some content in Algebra 2.

    I'm required to make an equation using a given vertex and a given point.

    Vertex = (0,1)
    Crosses through(1,-2)

    I would say the equation is y=2|x-0|+1
    Is this wrong?<--- yes
    1. If you plug in the coordinates of the given point you'll get:

    -2=2 \cdot |1-0| + 1~\implies~-2 = 3

    This is true only if you are a banker.

    2. Start with

    y=a \cdot |x-0| + 1

    plug in the coordinates and solve for a.
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