How can I tell whether a horizontal parabola opens to the left or the right?

Question

14799 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2014-09-13T05:03:54

The same way you tell if a parabola opens up or down, by the leading coefficient of the variable.

Since the #x#-axis is positive to the right, a positive leading coefficient (3) means it opens to the right. eg.

#y=+-sqrt(3x-4)+3#

And a negative leading coefficient (-2) means it opens to the left.

#y=+-sqrt(4-2x)+2#

Graph of two parabolas with equations.

Note that only the top halves of the parabolas are drawn.