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Math Help - Question about differentiation and tangents and quadratics and stuff... :)

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    Question about differentiation and tangents and quadratics and stuff... :)

    I've got a basic understand of differentiation and working the equation of the tangent on a point of a parabola etc

    I don't know how to do this question though:

    For the curve y=ax^2+bx+c , where a,b and c are constants, it is given that at the points (2,12) and (-1,0) the slope of the tangent is 7 and 1 respectively. Find a, b and c.

    How do I go about starting this question??
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    Quote Originally Posted by jgv115 View Post
    I've got a basic understand of differentiation and working the equation of the tangent on a point of a parabola etc

    I don't know how to do this question though:

    For the curve y=ax^2+bx+c , where a,b and c are constants, it is given that at the points (2,12) and (-1,0) the slope of the tangent is 7 and 1 respectively. Find a, b and c.

    How do I go about starting this question??
    you are given that y(2) = 12 , y(-1) = 0 , y'(2) = 7, and y'(-1) = 1

    If y(x) = ax^2 + bx + c , then y'(x) = 2ax + b

    set up some equations in terms of a, b, and c and solve.
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