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

i dont understand which way it would open! /;

Roman C. | Masters of Education Graduate with Mathematics ExpertiseMasters of Education Graduate with Mathe...
4.9 4.9 (336 lesson ratings) (336)
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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.

Jack M. | Keys to Chemistry, Calculus, Literature and MoreKeys to Chemistry, Calculus, Literature...
4.7 4.7 (309 lesson ratings) (309)
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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.

Robert J. | Certified High School AP Calculus and Physics TeacherCertified High School AP Calculus and Ph...
4.6 4.6 (13 lesson ratings) (13)
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It opens to the right because as y approaches +/- infinity, x approaches +infinity.