To find the equation of a parabola given the coordinates of the focus and the equation of the directix, use the following steps below.
First determine the vertex(coordinates) of the parabola using the graph given. Take the parabola vertex formula and input the vertex coordinates. Check for other points on the parabola and input it into the equation, put the value of "a" and solve.
After solving, to get the standard form simplify the equation.