This document discusses key concepts for graphing linear equations including functions, inputs, outputs, domains, ranges, and different types of equations that produce linear, quadratic, or absolute value graphs. It defines linear equations as having variables that are never squared and provides examples of linear equations. It also describes how quadratic equations with squared x and y variables will produce circular graphs while absolute value equations create V-shaped graphs.

1. Section 4-6

3. 1. Objective: Graph a linear equation.

4. 2. Function – when the relationship of one thing depends on another.

5. 3. Input – (x-axis)What you are plugging in.

6. 4. Output- Usually on the y axis. The answer you get after you plug in.

7. 5. Domain – (x – axis)The input values.

8. 6. Range – (y-axis) The output values

9. 7. Linear equation – x and y is never squared. Examples: 2x + 1 = yY = 3x + 8

11. 8. If x is squared, the graph will be in the shape of a u (parabola).

13. 9. If x and y are squared, the shape of the graph will be a circle.

15. 10. Absolute value equations are in the shape of a v.

17. Predict the shape of the following graphs.2x + 7y = 9(𝒙+𝟐)𝟐+ (𝒚 −𝟐)𝟐Y = 3𝒙𝟐Y = 𝟖𝒙Y = 9x +2