Below are the functions of y = |x| and y = |x| – 3. How are the functions related? (1 point)
The functions have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the
second function is –3.
The functions have the same y-intercept. The second function is steeper than y = |x|.
The two functions are the same.
The functions have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the
second function is 3
The correct answer is: The functions have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second function is –3.
This is because both functions are absolute value functions (|x| and |x| - 3), which have a V-shape and are symmetric about the y-axis. The only difference is that the second function is vertically shifted downward by 3 units, which changes the y-intercept to -3.