Grade 11 · Math · Algebra 2

11th grade Standard, vertex and factored forms, and greatest and least values worksheet

6 printable versionsOn Level10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version

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

Grade 11 Math Worksheet

NameDate

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

Zee completes the square to rewrite y = 2x² + 12x + 13 as y = 2(x − h)² + k. What is the least value of y?
Esme completes the square to rewrite y = -3x² + 18x − 20 as y = -3(x − h)² + k. What is the greatest value of y?
Jun completes the square to rewrite y = 4x² − 24x + 30 as y = 4(x − h)² + k. What is the least value of y?
Luz completes the square to rewrite y = -2x² − 16x − 23 as y = -2(x − h)² + k. What is the greatest value of y?
5.
Noah rewrites a kite's path, y = 3x² + 6x − 24, to read its zeros. Which is its factored form?
- y = 3(x + 6)(x − 4)
- y = 3(x − 4)(x + 2)
- y = 3(x + 4)(x − 2)
- y = (x + 4)(x − 2)
6.
Pia rewrites a rainbow arch, y = -2x² + 2x + 12, to find where it meets the ground. Which is its factored form?
- y = (x + 2)(x − 3)
- y = -2(x + 3)(x − 4)
- y = -2(x + 2)(x − 3)
- y = -2(x − 2)(x + 3)
7.
Zee wants the zeros of a bowl design, y = 2(x − 3)² − 8. Which is its factored form?
- y = 2(x − 1)(x − 5)
- y = (x − 1)(x − 5)
- y = 2(x − 3)(x + 2)
- y = 2(x + 5)(x + 1)
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 + 4)(x − 2)
- y = -(x + 1)(x + 3)
- y = -(x + 2)(x − 4)
- y = (x + 4)(x − 2)
9.
Jun wants the zeros of a swing's path, y = 3(x − 2)² − 27. Which is its factored form?
- y = 3(x + 1)(x − 5)
- y = (x + 1)(x − 5)
- y = 3(x − 2)(x + 3)
- y = 3(x + 5)(x − 1)
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)

11th grade Standard, vertex and factored forms, and greatest and least values worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Standard, vertex and factored forms, and greatest and least values. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can say which form shows the zeros, the vertex or the y-intercept.
I can complete the square with a front number to find the greatest or least value.
I can find the greatest area, money or height in a story.

Standard: F-IF.C.8a, A-SSE.B.3a, A-SSE.B.3b

Words to know

standard form: y = ax² + bx + c; it shows the output at x = 0.

vertex form: y = a(x − h)² + k; it shows the turning point (h, k).

factored form: y = a(x − r)(x − s); it shows the zeros r and s.

greatest or least value: The output at the vertex: greatest if it opens down, least if up.

Common mistakes

Your child mixed up vertex form and factored form.

Your child picked standard form, which only shows the output at x = 0.

Your child took out the front number but did not divide the x term by it.

What to say

Ask: which form has two brackets, and which has one squared bracket?

Ask: what can you read from y = 2x² − 12x + 10 without working?

Ask: what is 3(x² − 6x) multiplied out?

Questions parents ask

What is the most common mistake with standard, vertex and factored forms, and greatest and least values?

Your child mixed up vertex form and factored form.

How can I help my child with standard, vertex and factored forms, and greatest and least values?

Ask: which form has two brackets, and which has one squared bracket?

Are these 11th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More algebra 2

See all Algebra 2

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records