use the given parent function
f(x)=|x| to graph g(x)=|x|+5
use the ray tool and select two points to graph each ray.

See attachment

Step-by-step explanation:

The given parent function is: .

We want to graph using the parent function  .

Observe that g(x) can be rewritten as:

The graph of g(x) is obtained by shifting the graph of f(x) up by 5 units.

The vertex of g(x) will now be at (5,0)

See attachment.

14

step-by-step explanation:

14

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.