How do you graph #x>=-3(y-2)^2-5#?

1 Answer
SCooke
Jan 27, 2018

Simplify the expression for calculating, calculate enough data points for a reasonable curve, then shade the solution area.

Explanation:

All graphing is just plotting the calculated points from an (x,y) table. So, the first thing to do is to expand the expression for easier calculation (follow PEMDAS rules!).
#x >= -3(y^2 - 4y + 4) - 5#

#x >= -3y^2 + 12y -17#
The solution area is shaded, and the line is solid.

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