Question 374971
First graph {{{y=(x-1)^2+2}}}
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{{{graph(300,300,-10,10,-10,10,0,(x-1)^2+2)}}}
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Then choose a point not on the curve.
({{{0}}},{{{0}}}) is a convenient choice.
Test the inequality.
If the inequality is satisfied, shade the region containing ({{{0}}},{{{0}}}).
If not, shade the region that does not contain ({{{0}}},{{{0}}}).
{{{y>(x-1)^2+2}}}
{{{0>(0-1)^2+2}}}
{{{0>1+2}}}
{{{0>3}}}
False, shade the region not containing ({{{0}}},{{{0}}})
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*[invoke plot_any_inequality "y>(x-1)^2+2", -10, 10, -10, 10, 300, 300]