HELP!!! How would you describe differences between the graphs of f(x)=2x^2 and g(x) = -2x^2?

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Question

HELP!!! How would you describe differences between the graphs of f(x)=2x^2 and g(x) = -2x^2?

http://grabilla.com/05715-d66ebcd8-05dc-4152-83a4-8416f3f051a4.html

mathstudent55 · Answer

Do you know what the graph of y = x^2 looks like?

anonymous · Answer

Yes, a curve going positive into the y-axis

mathstudent55 · Answer

Right. It is a parabola opening upwardly with vertex at (0, 0).
Now think what multiplying the right side by 2 will do.
y = 2x^2.
It simply makes every y-coordinate twice as big as the corresponding coordinates in 
y = x^2, so it goes up faster and is a narrower parabola then the parabola of y = x^2.

Ok so far?

marihelenh · Answer

One would open up and the other down.

anonymous · Answer

Yes, i get it

mathstudent55 · Answer

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