# Lesson 1ET on the RunDevelop Understanding

Draw an area model that would represent each set of factors. Then, multiply each set of factors.

Multiplied form:

Multiplied form:

Multiplied form:

Multiplied form:

Multiplied form:

Multiplied form:

### 7.

#### a.

Use your area model for problem 5 to show where you see the .

#### b.

Use your area model for problem 5 to show where you see the .

### 8.

#### a.

Use your area model for problem 6 to show why there is not a term that contains .

#### b.

Use your area model for problem 6 to show where you see the .

## Set

### 9.

The graphs of and are shown on the same coordinate grid. (scale = )

#### a.

Graph the sum of and on the same grid.

#### b.

What is the basic shape of the new graph?

#### c.

Describe the transformation on .

#### d.

Let’s call the new graph . Identify the following features of and .

Feature

Vertex

Equation of axis of symmetry

-intercept(s)

- intercept(s)

Maximum or minimum?

What stayed the same and what changed?

#### e.

Write the equation of .

### 10.

The graphs of and are shown on the same coordinate grid. (scale = )

#### a.

Graph the sum of and on the same grid.

#### b.

What is the basic shape of the new graph?

#### c.

Describe the transformation on .

#### d.

Let’s call the new graph . Identify the following features of and .

Feature

Vertex

Equation of axis of symmetry

-intercept(s)

- intercept(s)

Maximum or minimum?

What stayed the same and what changed?

#### e.

Write the equation of .

### 11.

The graphs of and are shown on the same coordinate grid. (scale = )

#### a.

Graph the sum of and on the same grid.

#### b.

What is the basic shape of the new graph?

#### c.

Describe the two things this transformation did on .

#### d.

Let’s call the new graph . Identify the following features of and .

Feature

Vertex

Equation of axis of symmetry

-intercept(s)

- intercept(s)

Maximum or minimum?

What stayed the same and what changed?

#### e.

Write the equation of .

### 12.

Fill in the blank:

When you add a quadratic function and a linear function, the sum will always be a function.

## Go

Identify the functions in the tables as linear, exponential, quadratic, or neither.