Write the equation of a parabola with vertex (-5,8) and directrix x=2. show all of your work and put your equation in graphing/vertex form.

ANSWER

EXPLANATION

We want to write the equation of a parabola with vertex (-5,8) and directrix x=2.

The equation of the directrix tells us that, the axis of symmetry of the parabola is parallel to the x-axis.

This type of parabola has equation of the form:

p is the focal length of the parabola.

p=-7 because the parabola opens along the negative x-axis.

Hence the equation is

p> q if you calculate p is100 q is 79

(- 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 )