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Harrismath19.weebly.com

3.01 Graphing lines

Ways to graph If the equation is in slope intercept form (y=mx+b), use the y- intercept and slope Plot the y-intercept then use the slope If the equation is in standard form (Ax+By=C), use the x and y intercepts Plug in zero for the x value to solve for the y intercept (C/A) Plug in zero for the y value to solve for the x intercept (C/B)

Examples 2x-4y=8 C/B = 8/-4 = -2 2x-4y=8 C/A = 8/2 = 4 2(0) – 4y =8

Scatter plots

3.02 Slope Rise over run: up (+) or down (-) and ALWAYS right () Slope formula:

3.03 Writing Equations of Lines Point-Slope Form: Slope-Intercept Form: If given two points, you can use the slope formula, then plug in the slope and one of the points to the point-slope form. If you need to get slope-intercept form, distribute the slope and move y1 to the right side.

3.05 Parallel and Perpendicular Slopes 2

3.06 Graphing Inequalities and Absolute Value

Examples

Graphing Absolute Value Functions

Graphing Absolute Value Inequalities

3.07 Types of functions and transformations Constant Function Step Function

Absolute Value Function Identity Function

Piecewise Function Rational Function

Inverse Variation Function Direct Variation Function

Quadratic Function Square Root Function

Horizontal Shift

Vertical Shift

Reflection