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