Question

Below are the functions of y = |x| and y = |x| – 3. How are the functions related?
a. The functions have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second function is –3.
b. The functions have the same shape.
c. The y-intercept of y = |x| is 0, and the y-intercept of the second function is –3.
d. The functions have the same y-intercept.

Answer 1

if you have a function
\[y=\left| x \right|\]
and just add on to it some value, say 'c'
\[y=\left| x \right|+c\]

all that does is shifts the entire graph vertically in the y direction by that amount 'c'.