Graph absolute value, square root and cube root functions

Grade 9 Math Worksheet - Building Confidence

NameDate

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

  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).

  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).

  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. Kira graphs y = |x + 4| − 2 on a phone graph app (the app hums while it plots). Where is the vertex? Write it like (7, -3).

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

    Use the picture in question 4.

  6. 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 4.

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

  8. 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 7.

  9. 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 7.

  10. Zee sketches y = √(x + 6) − 4 for a bike path sketch. Where does the graph start? Write it like (7, -3).

    Use the picture in question 7.

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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. 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. 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. 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. Kira graphs y = |x + 4| − 2 on a phone graph app (the app hums while it plots). Where is the vertex? Write it like (7, -3).

    (-4, -2)
  5. Luz graphs y = |x − 6| + 1 on graph paper with a fresh pencil. Where is the vertex? Write it like (7, -3).

    Use the picture in question 4.

    (6, 1)
  6. 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 4.

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

    (2, 5)
  8. 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 7.

    (-3, 1)
  9. 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 7.

    (4, -2)
  10. Zee sketches y = √(x + 6) − 4 for a bike path sketch. Where does the graph start? Write it like (7, -3).

    Use the picture in question 7.

    (-6, -4)