Download 3.01 Graphing lines

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3.01 GRAPHING LINES
WAYS TO GRAPH
• If the equation is in slope intercept form (y=mx+b), use the yintercept 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
• 2(0) – 4y =8
• -4y = 8
• y = -2
• 2x-4y=8
• 2x – 4(0) =8
• 2x = 8
•x = 4
• C/B = 8/-4 = -2 • C/A = 8/2 = 4
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
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