2. The normal line to a graph of a function f(x) at a point x = a is the line that passes through (a, f(a)) and is perpendicular to the tangent line tof at r = a. Consider the parabola f(r) =1 – 4x + 3x2. The point (1,0) is on the parabola. (a) Calculate an equation for the tangent line to f at r = 1. You are allowed to use the power rule to calculate any derivatives you need. (b) Calculate an equation for the normal line to f at r = 1 (c) The normal line to f at x = 1 intersects f in another point outside of (1,0). Find this point.

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