SOLUTION: Can you show me how to graph the following inequality? xLess than or equal to - ySquared + 6y

SOLUTION: Can you show me how to graph the following inequality? xLess than or equal to - ySquared + 6y - 6.7

Question 785628: Can you show me how to graph the following inequality?
xLess than or equal to - ySquared + 6y - 6.7
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
graph the following inequality?
xLess than or equal to - ySquared + 6y - 6.7
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Graph the boundary by completing the square on the y-terms::
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x = -(y^2-6y) -6.7
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x = -(y^2-6y+9) -6.7+9
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x = -(y-3)^2 + 2.3
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Plot the vertex at (2.3,3)
Plot the x-intercept at y = -6.7
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Draw the boundary curve as a parabola opening left from (2.3,3)
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Shade the outside the parabola.
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The graph is the union of the boundary and the points outside.
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Cheers,
Stan H.
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