Find the equation of the parabola whose vertex is O ( 0,0) and the focus at (-7,0).
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Explanation:
The vertex of the required parabola is (0, 0) and focus is at (-7, 0)
∴ its axis is along X-axis
∴ its equation is of the form y² = 4ax (i)
Then the focus is (a, 0) which is given to be (-7,0)
∴ a = -7
By the equation (i) of the parabola is y² = -28x².
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