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.
Kira turns y = |x| into y = −2|x − 1| + 3 for a tent roof. Where does the point (2, 2) of y = |x| go? Write it like (7, -3).
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).
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 = 2|x + 1| − 3
- y = 2|x − 1| − 3
- y = 4|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
Read this first
Use this
Coordinate grid, all four quadrants, each square one unit, -10 to 10 on both axes. The V is drawn with the vertex (3, -2) and the point (6, 7) marked.
Tala draws a V for a shooting-star path in a game. The vertex is (3, -2) and the V passes through (6, 7). Which equation fits?
- y = |x − 3| − 2
- y = 9|x − 3| − 2
- y = 3|x − 3| − 2
- y = 3|x + 3| − 2
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 = −4|x + 4| + 6
- y = −8|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 ≤ 2
- y ≤ 4
- y ≥ 4
Bo graphs y = −√(x + 5) − 1 for a sled run. What is the range?
Use the picture in question 8.
- y ≤ -5
- y ≤ -1
- y ≥ -1
- All real numbers
Esme graphs y = ∛(x − 3) + 2 for a swing's path in a game. What is the domain?
- x ≥ 3, just like a square root graph
- All real numbers
- x ≤ 3