Answer
The equation for the parabola is $x^{2} = 4y$.
Work Step by Step
We know the value for the directrix is $y = -1$, so the value for $p$ is $1$.
We needed to know the value for $p$ to find the equation for this parabola. The equation for a parabola is given as:
$x^{2} = 4py$
Substituting $1$ for $p$, we get:
$x^{2} = 4(1)y$
Simplifying this equation, we get the equation for this parabola:
$x^{2} = 4y$