Write the equation of a parabola with a vertex at (-5, 2) and a directrix y = - 1.

Options are:

y minus 2 equals one-twelfth times the quantity x plus 5 squared

y minus 2 equals one-fourth times the quantity x plus 5 squared

y plus 2 equals one-twelfth times the quantity x minus 5 squared

x plus 5 equals negative one-twelfth times the quantity y minus 2 squared

Question

Mathematics

Jonathon Ellis

5 May, 16:02

Write the equation of a parabola with a vertex at (-5, 2) and a directrix y = - 1.

Options are:

y minus 2 equals one-twelfth times the quantity x plus 5 squared

y minus 2 equals one-fourth times the quantity x plus 5 squared

y plus 2 equals one-twelfth times the quantity x minus 5 squared

x plus 5 equals negative one-twelfth times the quantity y minus 2 squared

+3

Answers (1)

Know the Answer?

Skyla · Answer 1

First one

Step-by-step explanation:

(x - h) ² = 4p (y - k)

(h, k) = (-5,2)

p = 2 - - 1 = 3

(x - - 5) ² = 4 (3) (y - 2)

(x + 5) ² = 12 (y - 2)

y - 2 = (1/12) (x + 5) ²