Find the equation of the parabola that satisfies the following conditions: Vertex passing through and axis is along -axis
Solution: Since the vertex is and the axis of the parabola is the -axis.
Equation of the parabola is either of the form or
The parabola passes through point which lies in the first quadrant
Therefore, the equation of the parabola is of the form
Point must satisfy the equation
Thus, the equation of the parabola is