Aparabola is given by the equation y2 = -24x. the equation of the directrix of the parabola is

Step-by-step explanation:

We have been given an equation of a parabola . We are asked to find the equation of directrix of the given parabola.

First of all, we will convert our given equation in standard form of right-left opening parabola: , where, represents focal length and (h,k) is vertex of parabola.

We can rewrite our given equation as:

Since our given parabola has a term, so it will be symmetric about x-axis.

The vertex of parabola is (0,0) and focal length is 6.

We know that equation of directrix of right-left opening parabola is .

Therefore, the equation of the directrix of our given parabola is .

your answer would be 10x - 1

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.