Find the equation of the parabola tangent to ax + b at x=c where a, b, c are constants
So I know that I'm solving for a parabola Px2 + Qx +R where:
f(c) = Pc2 +Qc + R = ac + b
f'(c) =Pc + Q = a
And I know that since there is more than one solution parabola for each a, b, and c, I'll have an expression with x, y, a, b, c, and one other variable at the end, but I just don't see how this system of equations can possibly be solved for what I want. Please help!
Thanks
So I know that I'm solving for a parabola Px2 + Qx +R where:
f(c) = Pc2 +Qc + R = ac + b
f'(c) =Pc + Q = a
And I know that since there is more than one solution parabola for each a, b, and c, I'll have an expression with x, y, a, b, c, and one other variable at the end, but I just don't see how this system of equations can possibly be solved for what I want. Please help!
Thanks