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I am confused b/c the question is basically the equation of a horizontal parabola
Yes, which way are the arrows pointing to is the question.
so "p" = 1 making it greater than 0 so it must be going right?
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Well, just think about this:
On a y=x^2 graph, it opens up.
On a y=-x^2 graph, it opens down.
You have x=y^2 here. Which side is going in the positive direction? The right.
So you are correct but you don't have to play with numbers necessarily. This is easier as well.