9th grade Graph absolute value, square root and cube root functions worksheet

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.

1. 1.

   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).
2. 2.

   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).
3. 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).
4. 4.

   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
5. 5.

   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
6. 6.

   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
8. 7.

   Ari graphs y = −√(x − 2) + 4 for a marble track. What is the range?

   • All real numbers
   • y ≤ 4
   • y ≤ 2
   • y ≥ 4
9. 8.

   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
11. 9.

    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
12. 10.

    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