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

Answer Key - Grade 11 Math Worksheet - Building Confidence

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

1. Read this first

   Standard form

   y = 2x² − 12x + 10. Vertex form: y = 2(x − 3)² − 8. Factored form: y = 2(x − 1)(x − 5).

2. 1.

   Milo writes the rule for a design three ways. Which form shows its zeros without any work?

   • Vertex form
   • Standard form
   • Factored form

3. Standard form

   y = -3x² − 6x + 24. Vertex form: y = -3(x + 1)² + 27. Factored form: y = -3(x + 4)(x − 2).

4. 2.

   Pia writes a kite's path three ways. Which form shows its zeros without any work?

   • Standard form
   • Factored form
   • Vertex form

5. Standard form

   y = 2x² + 12x + 10. Vertex form: y = 2(x + 3)² − 8. Factored form: y = 2(x + 5)(x + 1).

6. 3.

   Ren writes a bowl design three ways. Which form shows its turning point without any work?

   • Factored form
   • Vertex form
   • Standard form
7. 4.

   Zee starts writing y = 3x² − 18x + 7 in vertex form by taking out 3: y = 3(x² + px) + 7. What is p?

   -6
8. 5.

   Esme starts writing y = -2x² + 12x − 5 in vertex form by taking out -2: y = -2(x² + px) − 5. What is p?

   -6
9. 6.

   Jun starts writing y = 4x² + 24x + 1 in vertex form by taking out 4: y = 4(x² + px) + 1. What is p?

   6
10. 7.

    Luz starts writing y = -5x² − 30x + 8 in vertex form by taking out -5: y = -5(x² + px) + 8. What is p?

    6
11. 8.

    Noah has a rule in vertex form, y = -3(x + 2)² + 4. Standard form shows the output in the row x = 0. What is that output?

    -8
12. 9.

    Pia has a rule in vertex form, y = 4(x − 1)² − 9. Standard form shows the output in the row x = 0. What is that output?

    -5
13. 10.

    Ren has a rule in vertex form, y = -2(x − 4)² + 7. Standard form shows the output in the row x = 0. What is that output?

    -25