A parabola can be drawn given a focus of ( − 9 , 6 ) and a directrix of x = − 1 .What can be said about the parabola?

Question

A parabola can be drawn given a focus of (−9,6) and a directrix of x=−1.What can be said about the parabola?

Answer 1

2p = -9 - (- 1) = - 8; p = - 4. Vertex (- 5, 6). So, equation of parabola: x + 5 = - 16(y - 6)²