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Find the equation of the parabola with its focus at (–7,6) and its directrix at y = 4

Sagot :

The equation of the parabola with its focus at (–7,6) and its directrix at y = 4 will be (x + 7)² + 5.

How to illustrate the equation?

By drawing the graph, it's can be depicted that the equation in this scenario is x² + 14x + 54.

Complete the square on the expression. This will be done by adding 49. This will be:

= x² + 14x + 7² + 54 - 49

= (x + 7)² + 5

Therefore, the equation of the parabola with its focus at (–7,6) and its directrix at y = 4 will be (x + 7)² + 5.

Learn more about equations on:

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