Question

Find the standard form of the equation of the parabola with a focus at (-4, 0) and a directrix at x = 4.

Answer 1

@satellite73 can you help maybe

Answer 2

since the focus is at (-4,0) and the directix is at x=4, the center is at (0,0) because it's the midpoint of these two.

Answer 3

right

Answer 4

since the focus is on the negative part of the x-axis, the parabola is facing to the left

Answer 5

the standard form of a horizontal parabola is (y-k)^2=4p(x-h

Answer 6

k=y of vertex (k=0)
h=x of vertex (h=0)
p= the distance from the vertex to the focus (p=-4)

Answer 7

so your answer is y^2=-16x