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Math Help - Quadratic Equation

  1. #1
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    Quadratic Equation

    I have a test in a few hours and this problem is on my review sheet and I am having trouble with it. If someone can help me out I would really appreciate it!!!!!!!!1

    Find the equation of the quadratic function that has the given vertex and given point

    V (-4,-3) through (-5,-2)
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  2. #2
    MHF Contributor red_dog's Avatar
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    Let f(x)=ax^2+bx+c

    Then,

    \left\{\begin{array}{lll}-\frac{b}{2a}=-4\\-\frac{\Delta}{4a}=-3\\ f(-5)=-2\end{array}\right.\Rightarrow\left\{\begin{array}  {lll}b=8a\\b^2-4ac=12a\\25a-5b+c=-2\end{array}\right.

    Now solve the system.
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