Find the standard form of the equation of the parabola with a focus at (-7, 0) and a directrix at x = 7.

The parabola directrix at x = 7 and focus at (-7, 0)

The horizontal parabola directrix equation is x = h - p

Therfore, the required parabola is horizontal.

Standard form of horizontal parabola is 

Where Center (h, k ),focus is (h +p, k ) and directrix is x  = h - p

Directrix x = h - p

h - p =  7 > (1)

Focus (h + p, k) = (-7, 0)

h + p = - 7 > (2)

and k = 0

Add the equations (1) & (2).

2h = 0

h = 0

Substitute h value in equation (2).

0 + p = - 7

p = - 7

Vertex of parabola is (h, k) = (0, 0).

substitute h, k , p values in standard form.

(y-0)^2 =(4)(-7)x

y^2 =-28x

y^2= - 14x

Step-by-step explanation:

just did the test

step-by-step explanation:

. your answer will contain x - and y -terms. (1 point) x ( ¿¿ 2 − 7 ) 2 +( y 2 − 9 ) 2 √ ¿ 12. what is the distance from the directrix (the crocodile river) to the point ( x , y )? write this equation. your answer will contain a y -term.