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Math Help - equation to tangent.

  1. #1
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    equation to tangent.

    Determine the equation of a function to the type y=ax^2 + bx + c given that the curve is tangent to the linke y = x+4 when x = -1 and tangent to the line y = 11x + 10 when x =2

    cheers for any help
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  2. #2
    MHF Contributor Unknown008's Avatar
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    1. Get the derivative of the curve.

    2. From the equation of the first tangent, we know that the gradient of the curve at x = -1 is 1.

    So, in your derivative, plug in x = -1 and equate to 1.

    3. So the same thing with the second tangent.

    4. Solve the equations, that you just obtained, simultaneously to get the values of a and b for your original curve.
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