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Consider the function $f(x)=x^3-2x^2+1$ graphed below, with values in the table:\\

$x$	-1	0	1	2
$f(x)$	-2	1	0	1

a) Consider the graph of $f(x)$ reflected over the $x$ -axis. Call this new function $g(x)$ .
i) Which of the following is a graph of $g(x)$ ?

(Click on a graph to enlarge it)

ii) Fill in the corresponding table with values for $g(x)$ .

$x$	-1	0	1	2
$g(x)$

b) Consider the graph of $f(x)$ reflected over the $y$ -axis. Call this new function $h(x)$ .
i) Which of the following is a graph of $h(x)$ ?

(Click on a graph to enlarge it)

ii) Fill in the corresponding table with values for $h(x)$ .

$x$	-2	-1	0	1
$h(x)$