graph shape worksheet

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Name _______________
Graph Scavenger Hunt
For each of the graphs below:
1) Give the general mathematical formula in terms of x and y
2) Explain the relationship between the X value and the Y value in words.
3) Look In your Reference Tables and find at least 5 formulas that would lead to the graph (unless otherwise noted).
-denote which variable in the formula would be on the Y-axis
-denote which variable in the formula would be on the X-axis
4) Give an example of a physical situation that could produce this graph (you can use a formula from above)
Y is a constant value
General Formula:
6
5
Explanation:
Y
4
3
2
Physical Example:
1
0
0
2
4
6
8
10
X
12
14
16
18
20
Linear Graph with a Positive Slope
70
60
50
Y
40
30
20
10
0
0
5
10
15
X
General Formula:
Formulas (5) indicate
- the variable that would be the Y-value
-the variable would be the X-value
-the variable the slope would represent
Physical Example:
Explanation:
20
Linear relationship- negative slope
70
60
50
Y
40
30
20
10
0
0
2
4
6
8
10
12
14
X
General Formula:
Explanation:
Physical Example:
16
18
20
Squared (quadratic) Relationship
450
400
350
Y
300
250
200
150
100
50
0
0
5
10
15
X
General Formula:
Formulas (4) Remember to indicate which
variable would be the Y-value and which variable
would be the X-value:
Explanation:
Physical Example:
20
Inverse or inverse Square Relationship
120
100
Y
80
60
40
20
0
0
5
10
15
20
X
General Formula:
Formulas (5) Remember to indicate which
variable would be the Y-value and which variable
would be the X-value:
Explanation:
Physical Example:
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