The parent function is ...
... f(x) = |x|
This is the absolute value function, equal x when x ≥ 0, and equal to -x when x < 0. Its graph has the shape of a V with the vertex at the origin and "legs" of slope ±1.
The function g(x) is the same function with 2 added. The addition of 2 moves every value of f(x) up 2 units, so translates the whole graph upward by 2 units.
10 different ways the awards can be rewarded.
The formula for exponential decay is

where a is the initial value (28750)
r is the rate of decrease (0.12)
x is the time, in this case in years (6 . 2018-2012 = 6 years)

<span>y </span>≈ <span>13351.62</span>
X^2-9x=-8
x^2-9x+8=-8+8
x^2-9x+8=0
(x-8)(x-1)=0
x-8=0
x-8+8=0+8
x=8
x-1=0
x-1+1=0+1
x=1
There are 2 solutions, which are 1 and 8