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
- y ≥ 2
- All real numbers
Jun graphs y = 2|x + 5| + 3 for a ladder-and-slide drawing. What is the range?
Use the picture in question 1.
- All real numbers
- y ≥ -5
- y ≥ 3
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?
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 + 3| + 4
- y = |x − 4| − 3
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 8.
- y = |x − 5| − 2
- y = |x + 5| − 2
- y = |x + 2| + 5
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 − 1| + 3
- y = |x − 3| + 1