Let f(x) = x² + 2x+1 a) Find the equation of the secant line between the points P and Q on the graph of y = f(x), where P has x- coordinate 0 and Q has x-coordinate 2. b) Find the point R on the graph of y = f(x) where the tangent line to f at R is parallel to the secant line from part a). Give the equation of the tangent line that you found. c) Plot, using Desmos's graphing calculator, the graphs of y = f(x), the secant line from part a) and the tangent line from part b). All three graphs should be plotted on the same plot. Comment on how your graph matches the work done in parts a) and b).

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