Rate of change = slope
slope = )y2 - y1) / (x2 - x1)
(0,-4)....x1 = 0 and y1 = -4 (pay attention to the negative sign when subbing)
(3,2)....x2 = 3 and y2 = 2
now we sub
slope(rate of change) = (2 - (-4) / (3 - 0) = (2 + 4) / 3 = 6/3 = 2 <==
(x+2)^2
This can be rewritten as:
(x + 2)(x + 2)
Multiply everything in the second parenthesis by x.
x^2 + 2x
Multiply everything in the second parenthesis by 2.
2x + 4
Add these equations together.
x^2 + 2x + 2x + 4
Combine like terms.
x^2 + 4x + 4
Hope this helps!
