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

Mar 15, 2017

With informaion that vertex is $\left(5 , 3\right)$, we cannot say anything about axis of symmetry.

#### Explanation:

With vertex as $\left(5 , 3\right)$,

we can either have a parabola such as $y = 2 {\left(x - 5\right)}^{2} + 3$, whose axis of symmetry is $x = 5$

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

or $x = {\left(y - 3\right)}^{2} + 5$, 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 $\left(5 , 3\right)$, we cannot say anything about axis of symmetry.