1. Graphing Steps, Types, & Relationships

2. 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.

3. Draw axes.

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

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

6. Scale evenly. Time (sec) Speed (m/s) 5 1015202530354045 5 10 15 20 25 30 Always start from “0”. Keep each increment constant. Keep the same space (#of blocks) between each increment. Do not use “ “. It distorts the shape.

7. Plot points. Speed (m/s) 5 1015202530354045 5 10 15 20 25 Time (sec)

8. Draw best fit. Speed (m/s) 5 1015202530354045 5 10 15 20 25 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)

9. Title. Speed (m/s) 5 10 Time (sec) 202530354045 5 10 15 20 25 Speed vs. Time 15

10. 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.

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

12. 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.

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