# Lesson 2You Are the ImagineerDevelop Understanding

### 1.

The black curve in the graph shows the graph of .

#### a.

Write the equation of the green dotted line labeled .

#### b.

Write the equation of the purple dotted line labeled .

#### c.

List everything you notice about the graphs of , , and .

### 2.

The black curve in the graph shows the graph of .

#### a.

Write the equation of the purple line labeled .

#### b.

Sketch in the graph of .

#### c.

What is the equation of ?

#### d.

Would the line also be a boundary line for your sketch? Explain.

### 3.

The black curve in the graph shows the graph of .

#### a.

Write the equation of the purple line labeled .

#### b.

Sketch in the graph of .

#### c.

What is the equation of ?

#### d.

How is the graph of different from the graph of ?

#### e.

Would the line also be a boundary line for your sketch? Explain.

## Set

### 4.

#### a.

Fill in the values for in the table.

#### b.

With a smooth curve, graph

### 5.

or

#### a.

Fill in the values for in the table.

#### b.

Now graph

or

.

Match each equation below with the appropriate graph. Describe the features of the graph that helped you match the equations.

 A. an irregular curved line on a coordinate plane x–10–10–10–5–5–5555101010y–5–5