Which equation in point slope form is shown in the graph below A. y - 3 = - 4/7 (x+4)

B. y + 3 = - 4/7 (x- 4)

C. y - 3 = - 7/4 (x+4)

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

D

Step-by-step explanation:

I know that its correct because I got it correct

it should equal to y=-2/7x+13/7

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this