SOLUTION: Why does the x^2 coefficient of the equation of a parabola determine the direction it opens?

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Question 637352: Why does the x^2 coefficient of the equation of a parabola determine the direction it opens?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
y=a%28x-h%29%5E2+%2Bk, the vertex form of a Parabola opening up(a>0) or down(a<0),
where(h,k) is the vertex and x = h is the Line of Symmetry
Why does the x^2 coefficient of the equation of a parabola determine the direction it opens...
As the value of the 'squared' term (which is always positve) ->infinity,
that coefficient will determine which direction the parabloa heads (to +infinity or -infinity)
Same Idea applies to a parabola open right or left
x=a%28y-k%29%5E2+%2Bh,the vertex form of a Parabola opening right(a>0) or left(a<0),
where(h,k) is the vertex and y = k is the Line of Symmetry