Final Answer:
The three graphs correspond to the functions:
1. $ f(x) = |x| $ → V-shaped graph opening upward, vertex at (0, 0)
2. $ f(x) = |x - 4| $ → V-shaped graph shifted right 4 units, vertex at (4, 0)
3. $ f(x) = |x + 4| $ → V-shaped graph shifted left 4 units, vertex at (−4, 0)
Matching to the three grids (left to right):
- Left grid: vertex at (0, 0) → $ f(x) = |x| $
- Middle grid: vertex at (4, 0) → $ f(x) = |x - 4| $
- Right grid: vertex at (−4, 0) → $ f(x) = |x + 4| $
So the correct matching is:
Left: $ f(x) = |x| $
Middle: $ f(x) = |x - 4| $
Right: $ f(x) = |x + 4| $
Final Answer:
Left: $ f(x) = |x| $, Middle: $ f(x) = |x - 4| $, Right: $ f(x) = |x + 4| $
Parent Tip: Review the logic above to help your child master the concept of piecewise functions worksheet.
