SOLUTION: Can you please help me sketch the graph of this function? {{{y > 2x^2}}}

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Question 152333: Can you please help me sketch the graph of this function?
y+%3E+2x%5E2

Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
Step 1. Plot y=2x^2. All this is is a parabola that grows twice as fast as y=x^2.
graph%28+300%2C+200%2C+-5%2C+5%2C+-3%2C+50%2C+2x%5E2+%29
Note that from tradition, and out of precision, we would draw such a graph with a dotted line.
Step 2. We want all values of y such that y is larger than 2x^2. Simply, the area inside the parabola should be shaded. All values of y inside the parabola will be greater than 2x^2. For example, when x=0, y=0. But in our shaded area, y is greater than 0!