Write a quadratic function from three points

Answer Key - Grade 11 Math Worksheet

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

1. Read this first

   Use the table

   x	0	1	2
   y	6	4	8

2. 1.

   Noah plots a design through the three points in the table. The rule is y = ax² + bx + c. What is a?

   3
3. 2.

   Pia's bowl design passes through the points in the table. The rule is y = ax² + bx + c. What is a?

   -4
4. 3.

   Ren draws a swing's path through the points in the table. The path is y = ax² + bx + c. What is a?

   5
5. 4.

   Zee's rainbow drawing passes through the points in the table. The rule is y = ax² + bx + c. What is a?

   -3
6. 5.

   Esme measures a fountain's arc at the three points in the table. The middle row is the top or bottom. What is a in y = ax² + bx + c?

   -5
7. 6.

   Jun's swing path passes through the points in the table, with the lowest point in the middle row. What is a in y = ax² + bx + c?

   5
8. 7.

   Milo's bowl design passes through the points in the table, with its bottom in the middle row. What is a in y = ax² + bx + c?

   5
9. 8.

   Pia's kite path passes through the points in the table. Which rule passes through all three points?

   • y = -x² + 4x + 2
   • y = -x² + 4x + 3
   • y = -2x² + 6x + 2
   • y = -x² − 4x + 2
10. 9.

    Ren draws a skate ramp through the points in the table. Which rule passes through all three points?

    • y = 3x² + x − 3
    • y = 3x² + x − 4
    • y = 3x² − x − 4
    • y = 4x² − x − 4
11. 10.

    Zee's swing path passes through the points in the table. Which rule passes through all three points?

    • y = -2x² + 5x + 3
    • y = -2x² − 5x + 4
    • y = -2x² − 5x + 3
    • y = -x² − 7x + 3