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:

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

16 would be your answer