Shift absolute value graphs
\begin{aligned} f(x)&=|x| g(x)&=|x - 1| + 9 \end{aligned}
f(x)
g(x)


=∣x∣
=∣x−1∣+9


We can think of ggg as a translated (shifted) version of fff.
Complete the description of the transformation.
Use nonnegative numbers.

Step-by-step explanation:

when graphing |x| the vertex starts at (0,0) and the +9 shows that the graph would shift up 9 and the -1 shows that you would shift one to the right because since it's an absolute value it will equal a positive number. So the vertex would be (1,9)

answer with proof

Step-by-step explanation:

b.-4 units

all you   do is count how many times you move

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.