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# Vertex Form of a Quadratic Function

Lesson 18 of 21

## Objective: SWBAT identify the key features of a parabola written in vertex form. SWBAT write a quadratic function in vertex form.

#### Closure

*5 min*

I ask my students to work on this closing activity individually. My goal is for the students to write down as many similarities and differences as they can without using their calculator to graph the functions.

After a couple of minutes, I have students draw a horizontal line across each box. Below the line, have them try to add to their list using their calculator to graph the functions. Without using the calculator, I expect many students will make observations like:

Similarities

- Both have the same vertex
- Both have the same axis of symmetry
- Both are quadratic functions

Differences

- One graph opens up, one opens down

After viewing the graph on the calculator I expect students will add additional observations,s such as one function is wider/narrower than another. However, I am hopeful that they will be proficient enough with working from the equation that they do not experience too many surprises when they apply technology.

#### Resources

*expand content*

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- LESSON 1: Overview of Quadratics-Essential Vocabulary
- LESSON 2: Quadratic Functions and Roots
- LESSON 3: Equations involving Factored Expressions
- LESSON 4: Solving Quadratics by Factoring-Day 1
- LESSON 5: Solving Quadratics by Factoring-Day 2
- LESSON 6: Applications of Quadratics Day 1
- LESSON 7: Simplifying Radical Expressions
- LESSON 8: Solving Quadratic Equations with Perfect Squares
- LESSON 9: Completing the Square Day 1
- LESSON 10: Irrational Zeros of Quadratic Functions
- LESSON 11: The Quadratic Formula-Day 1
- LESSON 12: Comparing the Three Methods of Solving Quadratics
- LESSON 13: Three Methods of Solving Quadratics and Word Problems
- LESSON 14: Identifying Roots and Critical Points-Need to Edit
- LESSON 15: Graphing Quadratic Functions Day 1
- LESSON 16: Key Features of Quadratic Functions
- LESSON 17: Sketching Polynomial Functions
- LESSON 18: Vertex Form of a Quadratic Function
- LESSON 19: Transformations with Quadratic Functions
- LESSON 20: Modeling With Quadratic Functions
- LESSON 21: Projectile Problems & Review