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).

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180