SOLUTION: How do I graph a Two Variable Quadradic inequality of y less than or equal to (x+5)sqrd +2

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Question 1063229: How do I graph a Two Variable Quadradic inequality of y less than or equal to (x+5)sqrd +2
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
y%3C=%28x%2B5%29%5E2%2B2

Critical values are the zeros.
x%2B5=sqrt%28-2%29 and you know these zeros are imaginary or have imaginary component. The graph of the EQUATION will not touch the x-axis and the entire curve will be above the x-axis.

Your inequality is an INCLUSIVE inequality, and this means you shade all parts of the plane below and including the curve.

graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%28x%2B5%29%5E2%2B2%29

graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%28x%2B5%29%5E2-y%3E=-2%29the shaded solution region