Question

You might need:
Calculator
Write the equation for a parabola with a focus at (7, -6) and a directrix at x = 5.
-

Answer 1

Step-by-step explanation:

...........................................

Answer 2

Answer:

$x = \frac{1}{4} y^{2} +3y+15$

Step-by-step explanation:

Solution

As the focus is (7, -6), and

The directrix is x = 5,

so the parabola equation is

$(x-7)^{2}+[y-(-6)]^{2}=(x-5)^{2}$

$x^{2}-14x+49+y^{2}+12y+36=x^{2} -10x+25$

$4x=y^{2}+12y+60$

$x=\frac{1}{4}y^{2}+3y+15$

{Points to focus distance and directrix are equal, to constitute a parabolic}