Standard, vertex and factored forms, and greatest and least values

Answer Key - Grade 11 Math Worksheet

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

1. 1.

   Zee completes the square to rewrite y = 2x² + 12x + 13 as y = 2(x − h)² + k. What is the least value of y?

   -5
2. 2.

   Esme completes the square to rewrite y = -3x² + 18x − 20 as y = -3(x − h)² + k. What is the greatest value of y?

   7
3. 3.

   Jun completes the square to rewrite y = 4x² − 24x + 30 as y = 4(x − h)² + k. What is the least value of y?

   -6
4. 4.

   Luz completes the square to rewrite y = -2x² − 16x − 23 as y = -2(x − h)² + k. What is the greatest value of y?

   9
5. 5.

   Noah rewrites a kite's path, y = 3x² + 6x − 24, to read its zeros. Which is its factored form?

   • y = 3(x + 4)(x − 2)
   • y = (x + 4)(x − 2)
   • y = 3(x − 4)(x + 2)
   • y = 3(x + 6)(x − 4)
6. 6.

   Pia rewrites a rainbow arch, y = -2x² + 2x + 12, to find where it meets the ground. Which is its factored form?

   • y = -2(x + 2)(x − 3)
   • y = (x + 2)(x − 3)
   • y = -2(x + 3)(x − 4)
   • y = -2(x − 2)(x + 3)
7. 7.

   Ren factors the ramp rule y = 2x² + 2x − 12 to find its zeros. Which is its factored form?

   • y = 2(x + 3)(x − 2)
   • y = 2(x − 3)(x + 2)
   • y = 2(x + 4)(x − 3)
   • y = (x + 3)(x − 2)
8. 8.

   Esme rewrites a rainbow arch, y = -(x + 1)² + 9, to read where it meets the ground. Which is its factored form?

   • y = -(x + 2)(x − 4)
   • y = -(x + 4)(x − 2)
   • y = (x + 4)(x − 2)
   • y = -(x + 1)(x + 3)
9. 9.

   Jun wants the zeros of a swing's path, y = 3(x − 2)² − 27. Which is its factored form?

   • y = 3(x − 2)(x + 3)
   • y = 3(x + 1)(x − 5)
   • y = 3(x + 5)(x − 1)
   • y = (x + 1)(x − 5)
10. 10.

    Luz rewrites a fountain's arc, y = -2(x + 3)² + 32, to read its zeros. Which is its factored form?

    • y = -2(x + 3)(x + 4)
    • y = (x + 7)(x − 1)
    • y = -2(x + 1)(x − 7)
    • y = -2(x + 7)(x − 1)