If the vertex of a parabola is (5,3) what is the equation for the axis of symmetry?

1 Answer
Shwetank Mauria
Mar 15, 2017

With informaion that vertex is #(5,3)#, we cannot say anything about axis of symmetry.

Explanation:

With vertex as #(5,3)#,

we can either have a parabola such as #y=2(x-5)^2+3#, whose axis of symmetry is #x=5#

graph{y=2(x-5)^2+3 [-0.81, 9.186, 1.24, 6.24]}

or #x=(y-3)^2+5#, whose axis of symmetry is #y=3#

graph{x=(y-3)^2+5 [-0.29, 9.71, -0.12, 4.88]}

Hence, just because vertex is #(5,3)#, we cannot say anything about axis of symmetry.

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