SOLUTION: Compare the graph of g(x)=0.5x^2-2 with the graph of f(x)=x^2. thank you!

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Question 865400: Compare the graph of g(x)=0.5x^2-2 with the graph of f(x)=x^2.
thank you!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with y = x^2. This is a parabola that opens upward.


Vertically compress the graph of y = x^2 by a factor of 2 to get y = 0.5x^2 (so it's half as high as before, it's vertically "squished" a bit)


Then shift y = 0.5x^2 two units down to get y = 0.5x^2 - 2


Here are the graphs of y = x^2, y = 0.5x^2, and y = 0.5x^2 - 2