SOLUTION: How would you graph this quadratic inequality: f(x)>-x^2+4x-4

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Question 292624: How would you graph this quadratic inequality:
f(x)>-x^2+4x-4

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How would you graph this quadratic inequality:
f(x)>-x^2+4x-4
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You do not directly graph an inequality; you first
of all graph the boundary of the inequality, which
is an equality.
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So, graph y = -x^2+4x-4 with a dashed curve.
You get:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-x%5E2%2B4x-4%29
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The pick a test point, like (0,0) to test in
the inequality.
Testing (0,0) in the inequality you get: 0 > 0+0-4.
This is false, so the solution does not contain (0,0).
The solution set is inside the parabola.
----
Shade the area that does not contain (0,0); that is
the graph of the inequality.
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Cheers,
Stan H.
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