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?
- y ≥ 4
- All real numbers
- y ≥ 1
Bo graphs y = |x + 6| − 2 for a tent roof drawing. What is the range?
Use the picture in question 1.
- All real numbers
- y ≥ -2
- y ≥ -6
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
- y ≥ 7
- All real numbers
Kira graphs y = √(x + 3) − 2 for a water slide model. What is the domain?
- x ≥ -3
- All real numbers
- x ≥ 3
- y ≥ -2
Milo graphs y = √(x + 1) + 6 for a cart track. What is the domain?
Use the picture in question 4.
- All real numbers
- y ≥ 6
- x ≥ 1
- x ≥ -1
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 − 4| − 3
- y = |x + 3| + 4
- y = |x − 3| + 4
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 − 3| + 1
- y = |x − 1| + 3