You may need to bust some of the equations before you solve 1/3 (6a-9)=27

a = 15

Step-by-step explanation:

1/3 (6a - 9) = 27

multiply through by 3

1/3 x 3(6a - 9) = 27 x 3

(6a - 9) = 81

Group like terms

6a = 81 + 9

6a = 90

Divide both side by 6

6a/6 = 90/6

a = 15

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