For the pair of functions given, do the following:

For the pair of functions given, do the following: A. Find the points of intersection. B. Gather the information needed to graph each function (2 points for a line, the vertex and a point for a parabola). C. Sketch the graphs of the functions (on the same axes). D. Shade the area between the curves. E. Write the integral expression for the area between the curves and simplify the integrand. (Be sure to use correct notation.) F. Calculate the area between the curves (find the exact answer). f(x)=x+2 and g(x)=-x^ 2+4x+2