Points A, B, and C are collinear. Point B is between A and C. Find the length indicated 2) AC = x + 2, BC = 1, and AB = 2x - 4.
Find x, AB, and AC.

            x = 5             AB = 6             AC = 7

Step-by-step explanation:

Points A, B, and C are collinear and point B is between A and C then

AB + BC = AC

2x - 4 + 1 = x + 2

2x - 3 = x + 2

   +3          +3

2x  =  x + 5

  -x     -x

  x  =  5

AB = 2x - 4 = 2×5 - 4 = 10 - 4 = 6

AC = AB +BC = 6 + 1 = 7

The Vertex of the parabola is V=(-5,-2)=(h,k)→h=-5, k=-2
This is a vertical parabola, then its equation has the form:
y=a(x-h)^2+k
Relacing h=-5 and k=-2
y=a(x-(-5))^2+(-2)
y=a(x+5)^2-2

When the x-value is -4, the y-value is 2. What is the coefficient of the squared expression in the parabola's equation:
a=?
x=-4, y=2→2=a(-4+5)^2-2
2=a(1)^2-2
2=a(1)-2
2=a-2
2+2=a-2+2
4=a
a=4

The coefficient of the squared expression in the parabola's equation is 4

Option B. 4