49-58 ■ Finding the Equation of a Parabola Find an equation of the parabola whose graph is shown.
The equation for the parabola of given figure.
The equation of the parabola whose graph is shown below
The general equation for a parabola with a horizontal axis having the vertex is
Here, is the distance from the origin and the vertex is .
The focus is and the directrix line is
The parabola opens to the upward if or to the downward if .
From the given figure,
The vertex is and the focus of the parabola is
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