Graph y = ax^2 + bx + c, and match equations, tables and graphs

Grade 9 Math Worksheet - Challenge Me

NameDate

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

  1. Read this first

    Use the table

    input xoutput y
    08
    13
    20
    3-1
    40
    53
    68
  2. Jun finds a table on a scrap of graph paper. Which equation makes this table?

    • y = -x² + 6x + 8
    • y = x² + 6x + 8
    • y = x² - 6x + 8
    • y = x² - 6x - 1
  3. Kira keeps a table for a toy rocket sketch. Which equation makes this table?

    • y = -x² - 4x + 5
    • y = x² + 4x + 5
    • y = -x² - 4x + 9
    • y = -x² + 4x + 5
  4. Luz keeps a table for a bowl design. Which equation makes this table?

    • y = 2x² - 4x - 8
    • y = 2x² - 4x - 6
    • y = 2x² + 4x - 6
    • y = x² - 2x - 6
  5. Milo keeps a table for a frog's hop (the frog keeps hopping off the page). Which equation makes this table?

    • y = -2x² - 8x - 5
    • y = -2x² + 8x - 5
    • y = 2x² + 8x - 5
    • y = -x² - 4x - 5
  6. Noah graphs a swing's path on a grid. Which equation makes this graph?

    • y = x² - 4x + 5
    • y = 2x² - 8x + 5
    • y = 2x² + 8x + 5
    • y = 2x² - 8x - 3
  7. Pia graphs a fountain's arc on a grid. Which equation makes this graph?

    • y = 2x² - 4x + 1
    • y = -2x² - 4x + 1
    • y = -2x² + 4x + 1
    • y = -x² + 2x + 1
  8. Ren graphs the inside of a mixing bowl on a grid. Which equation makes this graph?

    • y = 3x² + 6x - 1
    • y = 3x² + 6x - 4
    • y = 3x² - 6x - 1
    • y = x² + 2x - 1
  9. Tala graphs a basketball shot on a grid (swish!). Which equation makes this graph?

    • y = -x² - 4x - 7
    • y = -3x² + 12x - 7
    • y = 3x² + 12x - 7
    • y = -3x² - 12x - 7
  10. Ari fills in a table for a rocket sketch, y = -3x² + 2x + 7. What is the output in the row with input -2?

  11. Esme fills in a table for a frog's leap, y = -2x² - 5x + 3 (ribbit). What is the output in the row with input -3?

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Graph y = ax^2 + bx + c, and match equations, tables and graphs

Answer Key - Grade 9 Math Worksheet - Challenge Me

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

  1. Read this first

    Use the table

    input xoutput y
    08
    13
    20
    3-1
    40
    53
    68
  2. Jun finds a table on a scrap of graph paper. Which equation makes this table?

    • y = -x² + 6x + 8
    • y = x² + 6x + 8
    • y = x² - 6x + 8
    • y = x² - 6x - 1
  3. Kira keeps a table for a toy rocket sketch. Which equation makes this table?

    • y = -x² - 4x + 5
    • y = x² + 4x + 5
    • y = -x² - 4x + 9
    • y = -x² + 4x + 5
  4. Luz keeps a table for a bowl design. Which equation makes this table?

    • y = 2x² - 4x - 8
    • y = 2x² - 4x - 6
    • y = 2x² + 4x - 6
    • y = x² - 2x - 6
  5. Milo keeps a table for a frog's hop (the frog keeps hopping off the page). Which equation makes this table?

    • y = -2x² - 8x - 5
    • y = -2x² + 8x - 5
    • y = 2x² + 8x - 5
    • y = -x² - 4x - 5
  6. Noah graphs a swing's path on a grid. Which equation makes this graph?

    • y = x² - 4x + 5
    • y = 2x² - 8x + 5
    • y = 2x² + 8x + 5
    • y = 2x² - 8x - 3
  7. Pia graphs a fountain's arc on a grid. Which equation makes this graph?

    • y = 2x² - 4x + 1
    • y = -2x² - 4x + 1
    • y = -2x² + 4x + 1
    • y = -x² + 2x + 1
  8. Ren graphs the inside of a mixing bowl on a grid. Which equation makes this graph?

    • y = 3x² + 6x - 1
    • y = 3x² + 6x - 4
    • y = 3x² - 6x - 1
    • y = x² + 2x - 1
  9. Tala graphs a basketball shot on a grid (swish!). Which equation makes this graph?

    • y = -x² - 4x - 7
    • y = -3x² + 12x - 7
    • y = 3x² + 12x - 7
    • y = -3x² - 12x - 7
  10. Ari fills in a table for a rocket sketch, y = -3x² + 2x + 7. What is the output in the row with input -2?

    -9
  11. Esme fills in a table for a frog's leap, y = -2x² - 5x + 3 (ribbit). What is the output in the row with input -3?

    0