What is the focus of the parabola given by `-(1)/(4)(y + 2)^2 = (x −1)`? a. (-1, 2) b. (1, -2) c. (0, -2) d. (0, 2)

The correct option is C.

Step-by-step explanation:

The given equation is

Multiply both the sides by -4.

           .... (1)

Where, (h,k) is vertex and (h+p,k) is focus.

The standard form of a parabola is

             ..... (2)

From (1) and (2), we get

The focus of the parabola is

The focus of the given parabola is (0,-2). Therefore the correct option is C.

step-by-step explanation:

really really sorry if i'm

-12 -5(x + 4) = 3x

-12 - 5x - 20 = 3x

-12 - 20 - 5x = 3x

-32 - 5x = 3x

    + 5x   + 5x

-32 = 8x

8         8

- 4= x