✅ Vertex Form: Quick Check (F-IF.C.8a)

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Use completing the square to reveal extreme values and symmetry of a quadratic. Work on your own. Then check your answers.

1. Write y = x² − 10x + 24 in vertex form. Vertex?

2. Write y = x² − 12x + 40 in vertex form. Vertex?

3. Write y = x² − 4x + 6 in vertex form. Vertex?

4. Write y = x² + 6x + 8 in vertex form. Vertex?

5. Write y = x² + 4x + 7 in vertex form. Vertex?

6. Write y = x² + 2x − 4 in vertex form. Vertex?

7. Write y = x² − 2x + 4 in vertex form. Vertex?

8. Write y = x² − 4x + 3 in vertex form. Vertex?

9. Write y = x² + 2x − 7 in vertex form. Vertex?

10. Write y = x² − 2x − 2 in vertex form. Vertex?

Score: ____ / 10 I can use completing the square to reveal extreme values and symmetry of a quadratic: ☐ yes ☐ almost ☐ not yet

Answer key: 1) y = (x − 5)² − 1; vertex (5, -1) · 2) y = (x − 6)² + 4; vertex (6, 4) · 3) y = (x − 2)² + 2; vertex (2, 2) · 4) y = (x + 3)² − 1; vertex (-3, -1) · 5) y = (x + 2)² + 3; vertex (-2, 3) · 6) y = (x + 1)² − 5; vertex (-1, -5) · 7) y = (x − 1)² + 3; vertex (1, 3) · 8) y = (x − 2)² − 1; vertex (2, -1) · 9) y = (x + 1)² − 8; vertex (-1, -8) · 10) y = (x − 1)² − 3; vertex (1, -3)

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Worksheets › Grade 11 Math (Algebra II) › Vertex Form › Vertex Form

Grade 11 (ages 16–17)Numbers & mathsFree printable PDF

About this grade 11 worksheet

Free Grade 11 Algebra II math worksheet (Common Core F-IF.C.8a): vertex form — a ten-question quick check (quiz), with answer key. Skill: Use completing the square to reveal extreme values and symmetry of a quadratic. Level: Grade 11 — also suits Year 12 (UK).

For teachers: skills & standards

CCSS F-IF.C.8a: Use completing the square to reveal extreme values and symmetry of a quadratic
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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What age is it for?

It is designed for Grade 11 (ages 16–17), but use it with any child who is ready.

What skills does it build?

Use completing the square to reveal extreme values and symmetry of a quadratic.

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More “Vertex Form” printables (f-if.c.8a: use completing the square to reveal extreme values and symmetry of a quadratic)

Vertex Form: Practice A (F-IF.C.8a) · Vertex Form: Practice B (F-IF.C.8a) · Vertex Form: Mixed Practice & Reasoning (F-IF.C.8a) · Vertex Form: Show Your Thinking (F-IF.C.8a)

All 5 vertex form sheets → · Grade 11 Math (Algebra II): all 10 skills → · All Common Core grades

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