Answer
$x^{2}=20y$
Work Step by Step
The equation will have an $x^{2}$ term as the axis of symmetry is y-axis.
As the parabola opens upwards, the coefficient of y is positive.
Therefore, the equation of the parabola is of the form
$x^{2}= 4ay$
Given: a=5
$\implies$ $x^{2}=4\times5\,y$ or $x^{2}=20y$