Graph absolute value, square root and cube root functions
Grade 9 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
Luz turns y = |x| into y = 3|x + 2| − 4 for a castle tower top. Where does the point (-1, 1) of y = |x| go? Write it like (7, -3).
Milo turns y = |x| into y = −|x + 3| + 5 for a cloud dip. Where does the point (3, 3) of y = |x| go? Write it like (7, -3).
Noah turns y = |x| into y = −3|x − 2| − 2 for a rocket dive. Where does the point (1, 1) of y = |x| go? Write it like (7, -3).
Pia draws a V for a kite-string pattern. The vertex is (-1, -3) and the V passes through (1, 1). Which equation fits?
- y = 4|x + 1| − 3
- y = 2|x + 1| − 3
- y = 2|x − 1| − 3
- y = |x + 1| − 3
Ren draws a V for a tent outline. The vertex is (2, 5) and the V passes through (4, 1). Which equation fits?
- y = −4|x − 2| + 5
- y = 2|x − 2| + 5
- y = −2|x − 2| + 5
- y = −2|x + 2| + 5
Zee draws a V for an umbrella's folded edge. The vertex is (-4, 6) and the V passes through (-2, -2). Which equation fits?
- y = −8|x + 4| + 6
- y = 4|x + 4| + 6
- y = −4|x + 4| + 6
- y = −4|x − 4| + 6
Ari graphs y = −√(x − 2) + 4 for a marble track. What is the range?
- All real numbers
- y ≤ 4
- y ≤ 2
- y ≥ 4
Bo graphs y = −√(x + 5) − 1 for a sled run. What is the range?
Use the picture in question 7.
- y ≤ -1
- All real numbers
- y ≤ -5
- y ≥ -1
Esme graphs y = ∛(x − 3) + 2 for a swing's path in a game. What is the domain?
- x ≤ 3
- x ≥ 3, just like a square root graph
- All real numbers
Jun graphs y = ∛(x + 6) − 1 for a wave in a boat game. What is the range?
Use the picture in question 9.
- y ≥ -1
- y ≤ -1
- All real numbers