Find the equation of the parabola with:
. .  Vertex: (0,0)
. .  Axis: x-axis
. .  Length of latus rectum: 5
From , the vertex is at the Origin.
. . The equation is of the form: .
From , the parabola is "horizontal": .
. . The equation is of the form: . .(a)
From , the length of the latus rectum is 5.
We are expected to know that the length of the latus rectum is
. . Hence: .
Substitute into (a): .
But the parabola can open to the left or the right.
. . Therefore: .