Chapter 6 Rational Exponents and Radical Functions - 6.3 Perform Function Operations and Composition - 6.3 Exercises - Mixed Review - Page 434: 62

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We are given: $y=x^2-x-2$ $y=(x^2-x+\frac{1}{4})-\frac{1}{4}-2$ $y=(x-\frac{1}{2})^2-\frac{9}{4}$ Hence here, $a=1,h=\frac{1}{2},k=-\frac{9}{4}$ The vertex is $(\frac{1}{2},\frac{-9}{4})$ The axis of symmetry is: $x=\frac{1}{2}$ Make a list of values: $x=0 \rightarrow y=-2$ $x=1 \rightarrow y=-2$ $x=2 \rightarrow y=0$ $x=-1 \rightarrow y=0$