Question 359504
Graph the parabola, 
{{{y=-2x^2+7x+4}}}
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{{{graph(300,300,-10,10,-8,12,-2x^2+7x+4)}}}
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Now choose a point not on the curve.
(0,0) is always a convenient choice, if available.
Test the inequality.
If the inequality is satisfied, shade the region containing (0,0). 
If not shade the other region.
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{{{y<=-2x^2+7x+4}}}
{{{0<=0+0+4}}}
{{{0<=4}}}
True, shade the region containing (0,0).
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*[invoke plot_any_inequality "y <=-2x^2+7x+4", -10, 10, -8, 12, 300, 300]