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.
<u>Answer:</u>
Mid point = 
<u>Step-by-step explanation:</u>
We are given the coordinates of the end points of a line segment AB and we are to find the coordinates of its mid point.
The coordinates of the end points are: A (-1, -2) and B (6, 12).
We know the formula of the mid point:
Mid point = 
So putting in the given values to find the mid point of line segment AB:
Mid point =
= 
Answer:
L+C=14
10C+11L=145
Step-by-step explanation:
Let C represent Car Washing
Let L represent Landscaping
If Mila worked a total of 14 hours; then
L+C=14
If Mila earned a total of $145, then
10C+11L=145
Hence;
The system of equation are:
L+C=14
10C+11L=145
Height = area / base = 45 / 5 = 9 cm Answer