# Lesson 2 I’ve Been Framed Develop Understanding

## Learning Focus

Model a story context with a table, graph, and equation.

Identify features of a function from a graph.

Why are quadratic equations often used to model area?

## Open Up the Math: Launch, Explore, Discuss

Maya has a large

### 1.

What would be the area of the frame (just the part made of wood) if Maya made it

### 2.

Use a table, graph, and equation to write the relationship between the area of the wood frame

### 3.

Describe each part of your equation in terms of the context.

### 4.

What kind of function is

### 5.

What are the domain and range in this context?

### 6.

If the function

## Ready for More?

What is the width of the frame that has an area of

## Takeaways

Common features of quadratic functions:

Key features:

## Lesson Summary

In this lesson, we examined a quadratic function that was a model for area but had many features that were different than those we have seen previously. We learned that all quadratic functions have a linear rate of change and constant second difference, but some may be continuous and have intervals of increase and decrease depending on the domain.

Multiply the given binomials.

### 1.

### 2.

Write the equation of a line perpendicular to the given line and through the given point.