Graphing Steps, Types, & Relationships. Steps  Draw axes on graph paper with ruler.  Label axes with quantity and unit.  Determine range of x & y quantities.Scale.

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Presentation transcript:

Graphing Steps, Types, & Relationships

Steps  Draw axes on graph paper with ruler.  Label axes with quantity and unit.  Determine range of x & y quantities.Scale axes evenly using as much of the allotted space as possible.  Plot points.  Draw a smooth best fit curve.  Title graph.

Draw axes.

Label axes. Time (sec) Speed (m/s)

Determine range. Time (sec) Speed (m/s) What are the highest x & y values? Let’s say max. x = 30 max y = 45

Scale evenly. Time (sec) Speed (m/s) Always start from “0”. Keep each increment constant. Keep the same space (#of blocks) between each increment. Do not use “ “. It distorts the shape.

Plot points. Speed (m/s) Time (sec)

Draw best fit. Speed (m/s) A best fit passes through or nearby a majority of the points. It does not have to pass through every point. Very questionable point, do not count. Time (sec)

Title. Speed (m/s) 5 10 Time (sec) Speed vs. Time 15

Types  There are three basic graph types we will encounter frequently.  Each has its own distinctive shape and formula.  The graphed quantities will have a unique relationship.

Formula : y = mx + b X and Y increase together. Relationship between x & y - DIRECT.

Parabolic Formula : y = kx 2 X and Y increase together, but not at same rate. Y increases faster than X. Relationship between x & y - QUADRATIC.

Hyperbolic Formula : xy = k As X increases, Y decreases. Relationship between x & y - INVERSE.