



 
Hi Samantha, The graph of f:x > 0.5x^{2} + 2x + 2.5 intercepts the yaxis when x = 0 and hence the yintercept is (0, 2.5) = (0, 5/2). The slope m of the tangent at this point is the derivative of f, f':x > x + 2, at x = 0 and hence m = 2. The slope of the normal to the curve at this point is 1/m = 1/2 and hence g is the line with slope 1/2 and through the point (0, 5/2). Solve the equation f(x) = g(x) and you will find two solutions. One is the value you already know, x = 0, and the other is the xcoordinate of the second point where the line g(x) intercepts the curve f(x). Penny  


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