Features of a parabola from its graph or its equation

Answer Key - Grade 9 Math Worksheet

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

1. 1.

   Kira graphs a fountain's arc, y = -2x² + 20x - 7. What is the axis of symmetry? Write the number after x =.

   5
2. 2.

   Luz graphs a salad bowl, y = 4x² + 24x + 5 (no croutons on the graph). What is the axis of symmetry? Write the number after x =.

   -3
3. 3.

   Noah graphs a toy rocket path, y = -x² + 6x + 1. Does the graph have a maximum or a minimum, and what is it?

   • A maximum of 3
   • A maximum of 1
   • A minimum of 10
   • A maximum of 10
4. 4.

   Pia graphs a dip in a trail map, y = x² + 10x + 19. Does the graph have a maximum or a minimum, and what is it?

   • A minimum of 19
   • A minimum of -6
   • A maximum of -6
   • A minimum of -5
5. 5.

   Ren graphs a swing, y = 2x² - 8x + 11 (the swing squeaks). Does the graph have a maximum or a minimum, and what is it?

   • A minimum of 11
   • A maximum of 3
   • A minimum of 2
   • A minimum of 3
6. 6.

   Tala graphs a kite trick, y = -2x² - 12x - 10. Does the graph have a maximum or a minimum, and what is it?

   • A maximum of -10
   • A maximum of -3
   • A minimum of 8
   • A maximum of 8
7. 7.

   Bo graphs a skate ramp, y = 3x² + 12x + 2. What are the domain and range of the graph?

   • Domain: x ≥ -2; range: y ≥ -10
   • Domain: all real numbers; range: y ≤ -10
   • Domain: all real numbers; range: y ≥ -10
   • Domain: all real numbers; range: y ≥ 2
8. 8.

   Jun graphs a bike trail dip, y = x² - 6x + 3. For which inputs is the graph increasing?

   • x > -6
   • x < 3
   • x > 3
9. 9.

   Kira graphs a whale's jump, y = -x² - 4x + 1 (splash!). For which inputs is the graph increasing?

   • x < 5
   • x < -2
   • x > -2
10. 10.

    Luz graphs a sled run into a dip, y = 2x² + 4x - 1. For which inputs is the graph decreasing?

    • x < -3
    • x < -1
    • x > -1