Answer
The equation for this parabola is $y^{2} = 20x$
Work Step by Step
We know that the value for $p$ can be found if we know the focus. In this problem, the focus is given as $(5, 0)$. We can see that this parabola has a horizontal axis and that the value for $p$ is $5$.
The equation for a parabola with a horizontal axis is given by the following formula:
$y^{2} = 4px$
Substituting $5$ for $p$ into this equation, we get:
$y^{2} = 4(5)x$
Simplifying, we get the equation for this particular parabola:
$y^{2} = 20x$
