Problem

The accompanying figure shows the graphs of the twoequations y = x2 − 6x + 8 and y = |x2 −...

The accompanying figure shows the graphs of the twoequations y = x2 − 6x + 8 and y = |x2 − 6x + 8|.

(a) Determine the x- and y-intercepts for each graph.

(b) Which portions of the two graphs are identical? (Give your answer in terms of intervals along the x-axis.)

(c) Explain how the graph of y = |x2 − 6x + 8| can be obtained from that of y = x2 − 6x + 8 by means of reflection.

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