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In which direction will this parabola open? x= 3(y-5)^2-7

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3 Answers

General rule:

y = a(x-h)2+k opens up for a > 0, and down for a < 0.

x = a(y-k)2+h opens right for a > 0, and left for a < 0.

Using this rule, your equation opens right.

This is a parabola of the form x = Ay2, where A is any real number except 0. If A is positive (3 in this case), the parabola opens to the right. If it is negative, it opens to the left. 

This one opens to the right.

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