3. work on the following coordinate plan to graph the following functions:
a. graph the follow absolute value function and show your work to determine the vertex:
f(x) =|x + 2|
b. the function g(x) translates f(x) 4 units up. graph g(x) on the same coordinate plane and write the g(x) function.
c. the function h(x) reflects f(x) over the x-axis. graph h(x) on the same coordinate plane and write the h(x) function

See explanation

Step-by-step explanation:

First, graph the parent function The graph of this function has its vertex at the origin (green graph in attached diagram).

a) To graph the function translate the parent graph 2 units to the left. The vertex of this graph will be translated vertex of the parent graph and will be at point (-2,0) (blue line in attached diagram).

b) To graph the function translate the graph of the function 4 units up. The vertex of this graph will be translated vertex of the graph and will be at point (-2,4) (red line in attached diagram).

c) To graph the function reflect the graph of the function across the x-axis. The vertex of this graph will the same as the vertex of the graph (orange line in attached diagram).

answer: 25 is the correct answer

step-by-step explanation:

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,