Graph absolute value, square root and cube root functions
Grade 9 Math Worksheet
Circle the best answer, or write your answer on the line.
Bo graphs y = |x + 6| − 2 for a tent roof drawing. What is the range?
- y ≥ -6
- All real numbers
- y ≥ -2
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 ≥ 2
- All real numbers
- y ≥ 7
Kira graphs y = √(x + 3) − 2 for a water slide model. What is the domain?
- y ≥ -2
- x ≥ -3
- All real numbers
- x ≥ 3
Milo graphs y = √(x + 1) + 6 for a cart track. What is the domain?
Use the picture in question 3.
- x ≥ 1
- y ≥ 6
- x ≥ -1
- All real numbers
Noah graphs y = √(x − 5) − 4 for a toy train hill. What is the domain?
Use the picture in question 3.
- x ≥ 5
- All real numbers
- y ≥ -4
- 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?
Tala designs a V-shaped ramp for a scooter. On the grid, the vertex is (1, 2) and the ramp passes through (-3, 4). What is the slope of the left side?
Zee designs a V-shaped ramp for a rolling play ball. On the grid, the vertex is (-2, 3) and the ramp passes through (0, 11). 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 − 4| − 3
- y = |x − 3| + 4
Bo slides the graph of y = |x| so its vertex lands on (5, -2) for a crown design. Which equation is the new graph?
Use the picture in question 9.
- y = |x + 2| + 5
- y = |x + 5| − 2
- y = |x − 5| − 2