31-48 Finding the Equation of a Parabola Find an equation for the parabola that has its vertex at the origin and satisfies the given condition(s).
The equation for the parabola that has its vertex at the origin and the focus is .
The focus is and the vertex is .
The general equation for a parabola with a horizontal axis having the vertex at the origin and the focus is as follows.
Here, is the distance from the origin.
The parabola opens to the right, if or to the left if .
Substitute for in equation (1)
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