# Lesson 1 Transformers: Shifty y’s Develop 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.

### 1.

### 2.

### 3.

### 4.

### 5.

### 6.

### 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

### 10.

Sketch a parabola that has no

For problems 11–14, the table of values and graph for the quadratic parent function,

### 11.

#### a.

Write the equation of

#### b.

Graph

#### c.

How is the graph of

### 12.

#### a.

Write the equation of

#### b.

Graph

#### c.

How is the graph of

### 13.

#### a.

Write the equation of

#### b.

Graph

#### c.

How is the graph of

### 14.

#### a.

Write the equation of

#### b.

Graph

#### c.

How is the graph of

Graph each of the linear equations.

### 15.

### 16.

### 17.

### 18.

### 19.

### 20.

### 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:

#### c.

standard form: