SOLUTION: y is greater than or equal to x squared. how would you graph this?

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Question 185898: y is greater than or equal to x squared. how would you graph this?


Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First, graph the equation y=x%5E2 (this curve will serve as the boundary)

Note: since there is an '=' sign in the inequality, this means that the boundary is a solid line


Graph of y=x%5E2


Now pick a point that is NOT on the curve of y=x%5E2. Let's pick the point (0,1). This means that we have the values x=0 and y=1. Now plug them into the inequality:

y%3E=x%5E2 Go back to the inequality


1%3E=0%5E2 Plug in x=0 and y=1


1%3E=0 Square 0 to get 0


Since this inequality is true, this means that we shade the ENTIRE region that this point lies in. So just shade the region above the graph to get the following:





Graph of y%3E=x%5E2 where the red line is the boundary equation y=x%5E2 (solid line) with the shaded region in green.