# Lesson 1 ET on the Run Develop Understanding

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

### 1.

Multiplied form:

### 2.

Multiplied form:

### 3.

Multiplied form:

### 4.

Multiplied form:

### 5.

Multiplied form:

### 6.

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

### 9.

The graphs of

#### a.

Graph the sum of

#### b.

What is the basic shape of the new graph?

#### c.

Describe the transformation on

#### d.

Let’s call the new graph

Feature | ||
---|---|---|

Vertex | ||

Equation of axis of symmetry | ||

Maximum or minimum? | ||

What stayed the same and what changed? |

#### e.

Write the equation of

### 10.

The graphs of

#### a.

Graph the sum of

#### b.

What is the basic shape of the new graph?

#### c.

Describe the transformation on

#### d.

Let’s call the new graph

Feature | ||
---|---|---|

Vertex | ||

Equation of axis of symmetry | ||

Maximum or minimum? | ||

What stayed the same and what changed? |

#### e.

Write the equation of

### 11.

The graphs of

#### a.

Graph the sum of

#### 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

Feature | ||
---|---|---|

Vertex | ||

Equation of axis of symmetry | ||

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.

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