5/8(16d + 24) = 6(d - 1) + 1

d=-5

Step-by-step explanation:

5/8(16+24)=6(d-1)+1

distribute 5/8 into (16d+24) and 6 into (d-1)

10d+15=6d-6

subtract 6d on both sides

10d-6d+15=-6

combine like terms

4d+14=-6

subtract 14 on both sides

4d=-20

divide both sides by 4

d=-5

hope this helps

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