Graph absolute value, square root and cube root functions
Grade 9 Math Worksheet
Circle the best answer, or write your answer on the line.
Esme graphs y = 3|x − 2| + 7 for a castle gate arch in a game. What is the range?
- y ≥ 2
- All real numbers
- y ≥ 7
Kira graphs y = √(x + 3) − 2 for a water slide model. What is the domain?
- All real numbers
- x ≥ -3
- x ≥ 3
- y ≥ -2
Luz graphs y = √(x − 4) + 1 for a rocket's launch path in a game. What is the domain?
Use the picture in question 2.
- y ≥ 1
- x ≥ -4
- All real numbers
- x ≥ 4
Noah graphs y = √(x − 5) − 4 for a toy train hill. What is the domain?
Use the picture in question 2.
- All real numbers
- x ≥ 5
- y ≥ -4
- x ≥ -5
Pia designs a V-shaped ramp for a toy car. On the grid, the vertex is (2, 1) and the ramp passes through (0, 7). What is the slope of the left side?
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?
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 + 3| + 4
- y = |x − 4| − 3
Esme slides the graph of y = |x| so its vertex lands on (-2, -6) for an umbrella pattern. Which equation is the new graph?
Use the picture in question 8.
- y = |x − 2| − 6
- y = |x + 6| − 2
- y = |x + 2| − 6
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 8.
- y = |x + 1| + 3
- y = |x − 3| + 1
- y = |x − 1| + 3