# Lesson 1Transformers: Shifty y’sDevelop Understanding

Make a point on the vertex, and draw a dotted line for the line of symmetry. Label the coordinates of the vertex, and state whether it’s a maximum or a minimum. Write the equation for the line of symmetry.

### 7.

What connection exists between the coordinates of the vertex and the equation of the axis of symmetry?

### 8.

The line of symmetry of a parabola is not always located on an easy-to-read point or line. Consider the parabola shown, and explain how you could find the line of symmetry.

### 9.

How many -intercepts are possible for a parabola?

### 10.

Sketch a parabola that has no -intercepts, and explain what would cause a parabola to not have any -intercepts.

## Set

For problems 11–14, the table of values and graph for the quadratic parent function, , is provided. Compare the values in the table for in each question to those for . Identify what stays the same and what changes.

### 11.

#### a.

Write the equation of .

#### b.

Graph on the same grid as .

#### c.

How is the graph of different than the graph of ?

### 12.

#### a.

Write the equation of .

#### b.

Graph on the same grid as .

#### c.

How is the graph of different than the graph of ?

### 13.

#### a.

Write the equation of .

#### b.

Graph on the same grid as .

#### c.

How is the graph of different than the graph of ?

### 14.

#### a.

Write the equation of .

#### b.

Graph on the same grid as .

#### c.

How is the graph of different than the graph of ?

## Go

Graph each of the linear equations.

### 21.

Linear equations can be written in different forms. Describe how to quickly graph a linear equation based on the form in which it is written.

#### a.

slope-intercept form:

#### b.

point-slope form:

standard form: