20 algebra 2/geo
which is the equation of a parabola with a directrix at y = −3 and a focus at (−2, 3).

y = one twelfth(x − 2)squared
y = one twelfth(x + 2)squared
y = −one twelfth(x + 2)squared
y = −one twelfth(x − 2)squared

B

Step-by-step explanation:

For any point (x, y) on the parabola the distance from the focus and directrix are equal, that is

Using the distance formula

= | y + 3 |

Square both sides

(x + 2)² + (y - 3)² = (y + 3)² ← expand the factors in y on both sides

(x + 2)² + y² - 6y + 9 = y² + 6y + 9 ← subtract y² + 6y + 9 from both sides

(x + 2)² - 12y = 0 ← ( subtract (x + 2)² from both sides

- 12y = - (x + 2)² ( divide both sides by - 12 )

y = (x + 2)² → B

look at the photo below for the details

:)

-13

step-by-step explanation:

f(x)=2x-5 for f(-4)

f(-4)   means let x=-4

f(-4) = 2(-4) -5

f(-4) =-8-5

      = -13

f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

hope this !