Help Please Cumulative Exam 2:28:58 remain What is the vertex of the graph of f(x) = 1x - 13] + 11?
(-11, 13)
(-13, 11)
(11, 13)
(13, 11)

 (13, 11)

Step-by-step explanation:

The vertex of g(x) = |x| is (0, 0).

When the function is transformed to ...

 f(x) = g(x -h) +k

the vertex is moved to (h, k).

Here, we have (h, k) = (13, 11), translating the function to ...

 f(x) = |x -13| +11

and moving the vertex to (13, 11).

This was a good challenge tho

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is