Zeros of a quadratic, and writing one from its zeros or from a vertex and a point

Grade 9 Math Worksheet - Building Confidence

NameDate

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

  1. Ren graphs a valley on a hiking map, y = (x + 2)(x - 4). Where does the graph cross the x-axis? Type both x-values, smaller first, with a comma between.

  2. Tala graphs a fruit bowl, y = (x + 5)(x + 2) (the grapes are not on the graph). Where does the graph cross the x-axis? Type both x-values, smaller first, with a comma between.

  3. Zee graphs a skate ramp, y = 2(x - 1)(x - 6). Where does the graph cross the x-axis? Type both x-values, smaller first, with a comma between.

  4. Ari graphs a tent roof, y = -(x + 3)(x - 2). Where does the graph cross the x-axis? Type both x-values, smaller first, with a comma between.

  5. Bo's kite-string graph crosses the x-axis at x = 2 and x = -4. Which equation has these zeros?

    • y = (x - 4)(x + 2)
    • y = (x - 4)(x - 2)
    • y = (x + 4)(x - 2)
  6. Esme's rainbow graph crosses the x-axis at x = -1 and x = 5 (a double rainbow would need two graphs). Which equation has these zeros?

    • y = (x + 1)(x - 5)
    • y = (x - 1)(x - 5)
    • y = (x - 1)(x + 5)
  7. Jun's swing graph crosses the x-axis at x = 3 and x = -6. Which equation has these zeros?

    • y = (x - 6)(x - 3)
    • y = (x + 6)(x - 3)
    • y = (x - 6)(x + 3)
  8. Luz graphs a ball bounce, y = (x - 3)(x + 5). Where does the graph cross the y-axis? Give the y-value.

  9. Milo graphs a mixing bowl, y = (x + 3)(x + 8). Where does the graph cross the y-axis? Give the y-value.

  10. Pia graphs a toy rocket arc, y = -3(x - 2)(x + 1) (three, two, one, graph!). Where does the graph cross the y-axis? Give the y-value.

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Zeros of a quadratic, and writing one from its zeros or from a vertex and a point

Answer Key - Grade 9 Math Worksheet - Building Confidence

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

  1. Ren graphs a valley on a hiking map, y = (x + 2)(x - 4). Where does the graph cross the x-axis? Type both x-values, smaller first, with a comma between.

    -2, 4
  2. Tala graphs a fruit bowl, y = (x + 5)(x + 2) (the grapes are not on the graph). Where does the graph cross the x-axis? Type both x-values, smaller first, with a comma between.

    -5, -2
  3. Zee graphs a skate ramp, y = 2(x - 1)(x - 6). Where does the graph cross the x-axis? Type both x-values, smaller first, with a comma between.

    1, 6
  4. Ari graphs a tent roof, y = -(x + 3)(x - 2). Where does the graph cross the x-axis? Type both x-values, smaller first, with a comma between.

    -3, 2
  5. Bo's kite-string graph crosses the x-axis at x = 2 and x = -4. Which equation has these zeros?

    • y = (x - 4)(x + 2)
    • y = (x - 4)(x - 2)
    • y = (x + 4)(x - 2)
  6. Esme's rainbow graph crosses the x-axis at x = -1 and x = 5 (a double rainbow would need two graphs). Which equation has these zeros?

    • y = (x + 1)(x - 5)
    • y = (x - 1)(x - 5)
    • y = (x - 1)(x + 5)
  7. Jun's swing graph crosses the x-axis at x = 3 and x = -6. Which equation has these zeros?

    • y = (x - 6)(x - 3)
    • y = (x + 6)(x - 3)
    • y = (x - 6)(x + 3)
  8. Luz graphs a ball bounce, y = (x - 3)(x + 5). Where does the graph cross the y-axis? Give the y-value.

    -15
  9. Milo graphs a mixing bowl, y = (x + 3)(x + 8). Where does the graph cross the y-axis? Give the y-value.

    24
  10. Pia graphs a toy rocket arc, y = -3(x - 2)(x + 1) (three, two, one, graph!). Where does the graph cross the y-axis? Give the y-value.

    6