Write a quadratic function from three points

Answer Key - Grade 11 Math Worksheet - Challenge Me

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

1. Read this first

   Use the table

   x	1	2	3
   y	3	9	23

2. 1.

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

   4
3. 2.

   Jun records three points of a kite's path in the table. The path is y = ax² + bx + c. What is a?

   -2
4. 3.

   Luz's skate ramp passes through the points in the table. The ramp is y = ax² + bx + c. What is a?

   5
5. 4.

   Noah's design passes through the points in the table. Type x² as x^2. Which rule ax² + bx + c fits all three?

   2x^2 − 5x + 4
6. 5.

   Pia's kite path passes through the points in the table. Type x² as x^2. Which rule ax² + bx + c fits all three?

   -3x^2 + 8x − 1
7. 6.

   Zee's swing path passes through the points in the table. Type x² as x^2. Which rule ax² + bx + c fits all three?

   -2x^2 − 6x + 5
8. 7.

   Esme times a water rocket launched from the ground. Its height follows h = at² + bt + c. How high is it at 3 s?

   45
9. 8.

   Jun times a water rocket launched from a 1 m stand. Its height follows h = at² + bt + c. How high is it at 3 s?

   61
10. 9.

    Luz times a model rocket launched from a 3-foot pad. Its height follows h = at² + bt + c. How high is it at 3 s?

    147
11. 10.

    Milo times a model rocket launched from the ground. Its height follows h = at² + bt + c. How high is it at 3 s?

    240