Use the given information to write an equation for each parabola below: the parabola has focus (4, –1) and directrix y=–4

The answer to your question is:

Step-by-step explanation:

Data

Focus (4, -1)

directrix = - 4

Process

p = 3/2

Vertex (4, -7/2)

Vertical parabola  (x - h)² = 4p(y - k)

                              (x - 4)² = 4(3/2)(y + 7/2)

                              ( x - 4)² = 6(y + 7/2)

                              x² - 8x + 16 = 6y + 21

                              x² - 8x - 6y - 5 = 0

3, 12, 48, 384, 1536, 6144, 24576, 98304

step-by-step explanation:

just keep timing it by 4.

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )