Graph absolute value, square root and cube root functions

Answer Key - Grade 9 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   Ari moves y = |x| to y = |x − 3| + 1 for a robot jump. The vertex row is done. Where does (2, 2) land? Write it like (7, -3).

   (5, 3)
2. 2.

   Bo moves y = |x| to y = |x + 2| + 4 for a sled ramp in a game. The vertex row is done. Where does (1, 1) land? Write it like (7, -3).

   (-1, 5)
3. 3.

   Esme moves y = |x| to y = |x − 5| − 3 for a kite's dip in a game. The vertex row is done. Where does (-1, 1) land? Write it like (7, -3).

   (4, -2)
4. 4.

   Jun moves y = |x| to y = |x + 4| − 1 for a scooter ramp in a game. The vertex row is done. Where does (3, 3) land? Write it like (7, -3).

   (-1, 2)
6. 5.

   Luz graphs y = |x − 6| + 1 on graph paper with a fresh pencil. Where is the vertex? Write it like (7, -3).

   (6, 1)
7. 6.

   Milo graphs y = |x + 1| + 3 on the big classroom screen. Where is the vertex? Write it like (7, -3).

   Use the picture in question 5.

   (-1, 3)
8. 7.

   Noah graphs y = |x − 2| − 5 on a treasure map grid. Where is the vertex? Write it like (7, -3).

   Use the picture in question 5.

   (2, -5)
10. 8.

    Pia sketches y = √(x − 2) + 5 for a playground slide model. Where does the graph start? Write it like (7, -3).

    (2, 5)
11. 9.

    Ren sketches y = √(x + 3) + 1 for a boat ramp drawing. Where does the graph start? Write it like (7, -3).

    Use the picture in question 8.

    (-3, 1)
12. 10.

    Tala sketches y = √(x − 4) − 2 for a snowy hill in a game. Where does the graph start? Write it like (7, -3).

    Use the picture in question 8.

    (4, -2)