MATH SOLVE

4 months ago

Q:
# The equation of a parabola is (yβ3)2=20(x+1) .What is the equation of the directrix of the parabola?

Accepted Solution

A:

ANSWER[tex]x = - 6[/tex]EXPLANATIONThe given parabola has equation:[tex] {(y - 3)}^{2} = 20 {(x + 1)}^{2} [/tex]This parabola opens in the direction of the positive x-axis.This can be rewritten as:[tex]{(y - 3)}^{2} = 4(5) {(x + 1)}^{2} [/tex]The vertex is (-1,3)The directrix of this parabola is [tex]x = - 1 - 5[/tex][tex]x = - 6[/tex]