# Quadratic Functions Hangman

This game reviews vocabulary students need when they analyze quadratic functions of the form y = a(x − p)² + q and y = ax² + bx + c, including vertex, domain and range, direction of opening, axis of symmetry, and x- and y-intercepts ([Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/17777), [Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/17778), [Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/17777)). It also draws on the language used to factor polynomial expressions when solving quadratic equations ([Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/17775), [Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/17779)). Working through these terms supports the analysis of quadratic functions in vertex form and the determination of key features such as the vertex, domain and range, direction of opening, axis of symmetry, and x- and y-intercepts([Resource](https://goa-cc-uat-aili-app-001.azurewebsites.net/library/resource/L-Uj1j9H4kypxiv587R6aA), [Resource](https://goa-cc-uat-aili-app-001.azurewebsites.net/library/resource/L2B8wqn5oUawLk4_WJDe0Q)).

## How to play

Each puzzle gives a definition or a fill-in-the-blank sentence related to quadratic functions. Guess the hidden word one letter at a time.

For every incorrect letter, add one part to the hangman drawing (head, body, left arm, right arm, left leg, right leg). A player who completes the full drawing before guessing the word loses that round.

Work alone or in pairs. Check off each letter you have already guessed so you do not repeat it. When you think you know the word, say it or write it in full before revealing the answer key.

## Puzzles

### Round 1 (7 letters)

`O _ _ _ _ _ _`

Clue: Whether a parabola points upward or downward.

Wrong guesses: ___ ___ ___ ___ ___ ___

### Round 2 (6 letters)

`D _ _ _ _ _`

Clue: The set of all possible input values for a function.

Wrong guesses: ___ ___ ___ ___ ___ ___

### Round 3 (8 letters)

`S _ _ _ _ _ _ _`

Clue: A line that divides a parabola into two identical halves.

Wrong guesses: ___ ___ ___ ___ ___ ___

### Round 4 (9 letters)

`F _ _ _ _ _ _ _ _`

Clue: Breaking a polynomial into a product of simpler expressions.

Wrong guesses: ___ ___ ___ ___ ___ ___

## Answer key

- Round 1: **OPENING**
- Round 2: **DOMAIN**
- Round 3: **SYMMETRY**
- Round 4: **FACTORING**

---
*AILI game · language en · model claude-sonnet-5 · generated 2026-09-17 · id 868d8313-484c-4184-9f03-ee3af3bbd9a1*

### Sources

- node:n1: Mathematics › Mathematics (10–12) › Mathematics 20-1 › Relations and Functions › General Outcome (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/17777)
- node:n2: Mathematics › Mathematics (10–12) › Mathematics 20-1 › Relations and Functions › General Outcome (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/17776)
- node:n3: Mathematics › Mathematics (10–12) › Mathematics 20-1 › Relations and Functions › General Outcome (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/17778)
- node:n4: Mathematics › Mathematics (10–12) › Mathematics 20-1 › Relations and Functions › General Outcome (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/17777)
- node:n5: Mathematics › Mathematics (10–12) › Mathematics 20-1 › Relations and Functions › General Outcome (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/17779)
- node:n6: Mathematics › Mathematics (10–12) › Mathematics 20-1 › Relations and Functions › General Outcome (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/17775)
- node:n7: Mathematics › Mathematics (10–12) › Mathematics 20-1 › Relations and Functions › General Outcome (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/17782)
- node:n8: Mathematics › Mathematics (10–12) › Mathematics 20-1 › Relations and Functions › General Outcome (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/17780)
- node:n9: Mathematics › Mathematics (10–12) › Mathematics 20-1 › Relations and Functions › General Outcome (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/17781)
- node:n10: Mathematics › Mathematics (10–12) › Mathematics 20-1 › Relations and Functions › General Outcome (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/17776)
- node:n11: Mathematics › Mathematics (10–12) › Mathematics 20-1 › Relations and Functions › General Outcome (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/17785)
- resource:r1: Resources › type#studentsupport, type#teachersupport › MAT2791 (https://goa-cc-uat-aili-app-001.azurewebsites.net/library/resource/L-Uj1j9H4kypxiv587R6aA)
- resource:r2: Resources › type#studentsupport, type#teachersupport › MAT2791 (https://goa-cc-uat-aili-app-001.azurewebsites.net/library/resource/9Im-lhmbb0m3jiTVElTJ2A)
- resource:r3: Resources › type#studentsupport, type#teachersupport › MAT2791 (https://goa-cc-uat-aili-app-001.azurewebsites.net/library/resource/L2B8wqn5oUawLk4_WJDe0Q)
- resource:r4: Resources › type#studentsupport, type#teachersupport › MAT2791 (https://goa-cc-uat-aili-app-001.azurewebsites.net/library/resource/Ev9xj275wEyw23tOXVmz4w)
- resource:r5: Resources › type#studentsupport › MAT2791 (https://goa-cc-uat-aili-app-001.azurewebsites.net/library/resource/byh431Gvkk2zgLQtZNOBlA)