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# Section P.1 – Graphs and Models PowerPoint PPT Presentation

Section P.1 – Graphs and Models. How to Graph. Make a table to graph y = x 2 + 2. Only use a ruler if the relation is linear. -5. 27. -4. 18. Use your knowledge of relations and functions to make sure you pick values of x that make a complete graph. -3. 11. -2. 6. -1. 3. 0.

Section P.1 – Graphs and Models

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## Section P.1 – Graphs and Models

### How to Graph

Make a table to graph y = x2 + 2

Only use a ruler if the relation is linear.

-5

27

-4

18

Use your knowledge of relations and functions to make sure you pick values of x that make a complete graph.

-3

11

-2

6

-1

3

0

2

1

3

2

6

3

11

4

18

You do not need to plot every point, but make sure to get the complete graph.

5

27

### Types of Symmetry

With Respect to the…

y-axis

x-axis

origin

Tests…

Replacing x in the equation by –x yields an equivalent equation.

Replacing y in the equation by –y yields an equivalent equation.

Replacing x in the equation by –x and y by –y yields an equivalent equation.

### Example of Symmetry

Test for symmetry in the equation .

Test by Replacing x in the equation by –x.

Check out the graph first.

An equivalent equation.

The equation is symmetric with respect to the y-axis.

### System of Equations Example

Solve the following system of equation algebraically:

Both equations equal y. Set them equal to each other.

### System of Equations Example

Solve the following system of equation algebraically:

The two lines are parallel. They never intersect.

FALSE

No Solution.

### System of Equations Example

Solve the following system of equation algebraically: