SOLUTION: (graph the system of inequalities) y is less than or equal to -2x^2 + 7x + 4

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Question 359504: (graph the system of inequalities)
y is less than or equal to -2x^2 + 7x + 4
Answer by Fombitz(13828) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the parabola,
y=-2x%5E2%2B7x%2B4
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.
.
graph%28300%2C300%2C-10%2C10%2C-8%2C12%2C-2x%5E2%2B7x%2B4%29
.
.
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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.
.
.
y%3C=-2x%5E2%2B7x%2B4
0%3C=0%2B0%2B4
0%3C=4
True, shade the region containing (0,0).
.
.
Solved by pluggable solver: Plot Any Inequality
Graphing function y%3C=-2x%5E2%2B7x%2B4:

graph%28+300%2C+300%2C+-10%2C+10%2C+-8%2C+12%2C+y%3C=-2x%5E2%2B7x%2B4+%29