Graph absolute value, square root and cube root functions
Grade 9 Math Worksheet
Circle the best answer, or write your answer on the line.
Ari graphs y = |x − 1| + 4 to plan a skate ramp (helmets on). What is the range?
- All real numbers
- y ≥ 1
- y ≥ 4
Esme graphs y = 3|x − 2| + 7 for a castle gate arch in a game. What is the range?
Use the picture in question 1.
- y ≥ 7
- All real numbers
- y ≥ 2
Jun graphs y = 2|x + 5| + 3 for a ladder-and-slide drawing. What is the range?
Use the picture in question 1.
- y ≥ -5
- All real numbers
- y ≥ 3
Kira graphs y = √(x + 3) − 2 for a water slide model. What is the domain?
- x ≥ 3
- All real numbers
- y ≥ -2
- x ≥ -3
Luz graphs y = √(x − 4) + 1 for a rocket's launch path in a game. What is the domain?
Use the picture in question 4.
- x ≥ -4
- All real numbers
- y ≥ 1
- x ≥ 4
Milo graphs y = √(x + 1) + 6 for a cart track. What is the domain?
Use the picture in question 4.
- y ≥ 6
- x ≥ -1
- All real numbers
- x ≥ 1
Noah graphs y = √(x − 5) − 4 for a toy train hill. What is the domain?
Use the picture in question 4.
- All real numbers
- y ≥ -4
- x ≥ 5
- x ≥ -5
Ren designs a V-shaped ramp for a bike jump. On the grid, the vertex is (-3, -5) and the ramp passes through (1, 3). What is the slope of the right side?
Ari slides the graph of y = |x| so its vertex lands on (-3, 4) for a star-catching game level. Which equation is the new graph?
- y = |x + 3| + 4
- y = |x − 3| + 4
- y = |x − 4| − 3
Jun slides the graph of y = |x| so its vertex lands on (1, 3) for a magnet maze level. Which equation is the new graph?
Use the picture in question 9.
- y = |x + 1| + 3
- y = |x − 1| + 3
- y = |x − 3| + 1