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

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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

Mathematics
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Do you know what the graph of y = x^2 looks like?
Yes, a curve going positive into the y-axis
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?

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One would open up and the other down.
Yes, i get it
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And how would i explain the opposite?
Now for y = -2x^2, every y-coordinate compared to the corresponding y-coordinate of y = 2x^2 is just the negative of it.
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That means y = -2x^2 is a mirror image of y = 2x^2.
So a reflection over y=x?
y-axis*
No, not y = x, and not y-axis. I'll show you in the figure below.
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