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**1. The problem statement, all variables and given/known data**

Find the parabola of the form y=ax^2+bx, whose tangent at given point P has equation y.

y=5x-8

P=(2,2)

**2. Relevant equations**

I guess the equations involved would be the equation for the parabola: y=ax^2+bx, and the y-y1=m(x-x1) for the slope.

**3. The attempt at a solution**

Using the parabola equation, I found a general derivative and then input the x and y' values in order to try and find a and b, but I was unable to solve for either.