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3.01 Graphing lines
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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)
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Examples 2x-4y=8 C/B = 8/-4 = -2 2x-4y=8 C/A = 8/2 = 4 2(0) – 4y =8
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Scatter plots
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3.02 Slope Rise over run: up (+) or down (-) and ALWAYS right ()
Slope formula:
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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.
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3.05 Parallel and Perpendicular Slopes
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3.06 Graphing Inequalities and Absolute Value
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Examples
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Graphing Absolute Value Functions
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Graphing Absolute Value Inequalities
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3.07 Types of functions and transformations
Constant Function Step Function
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Absolute Value Function
Identity Function
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Piecewise Function Rational Function
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Inverse Variation Function Direct Variation Function
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Quadratic Function Square Root Function
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Horizontal Shift
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Vertical Shift
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Reflection
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