Answer to Question 8

The original function, f (x), is graphed in blue. a.  the expression for h(x) is h(x) = (-x)2 -2(-x) = x2 + 2x b.  the expression for g(x) is g(x) = -x2 - 2x c.  the 90º rotation is indicated by the dotted line.  The coordinates for which  x = -1 are (-1, -0.414) and (-1, 2.414) *

* x = -1 under the rotation is equivalent to y = 1 under the original graph.
Therefore, we are interested in  x² - 2x = 1   which gives  x² - 2x - 1 = 0.
Use your graphing calculator to solve. 
One possible calculator solution method: Y1 = x² - 2x - 1 and Y2 = 0
Use 2nd - Calc - #5 Intersect to find the points of intersection.

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