# Lesson 2Transformers: More Than Meets the y’sSolidify Understanding

The standard form of a quadratic equation is defined as .

Identify , , and in the following equations.

Example: Given , , and

### 6.

Multiply and write each product in the form . Then identify , , and .

Equation:

Equation:

Equation:

Equation:

Equation:

Equation:

## Set

Graph the following equations. State the vertex. (Be precise and graph at least five points.)

Vertex:

Vertex:

Vertex:

Vertex:

Vertex:

Vertex:

### 19.

Explain which values for and (given that ) in the equation would produce a graph that fits each description.

#### a.

A parabola with two -intercepts.

#### b.

A parabola with no -intercepts.

## Go

Use the table to identify the vertex, the equation for the line of symmetry, and state the number of -intercept(s) the parabola will have, if any. State whether the vertex will be a minimum or a maximum.

### 20.

Vertex:

#### b.

Line of symmetry:

-intercept(s):

#### d.

Minimum or Maximum?

### 21.

Vertex:

#### b.

Line of symmetry:

-intercept(s):

#### d.

Minimum or Maximum?

### 22.

Vertex:

#### b.

Line of symmetry:

-intercept(s):

#### d.

Minimum or Maximum?

### 23.

Vertex:

#### b.

Line of symmetry:

-intercept(s):

#### d.

Minimum or Maximum?