Graphs of Linear Functions
Part 1
1. Use your calculator to graph Y = X. Sketch the graph.
2. Predict what the graph of Y = 4X will look like in comparison to the
graph of Y = X. Use your calculator to draw the graph of Y = 4X on the
same coordinate plane as the graph of Y = X. Sketch and label the 2
graphs.
3. Try other functions such as Y = 2X, Y = 6X, Y = 3X. Describe any
patterns that you see.
Linear Graphs
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4. Predict what the graph of Y = ¼ X will look like in comparison to the
graph of Y = X. Use your calculator to draw the graph of Y = ¼ X on the
same coordinate plane as the graph of Y = X. Sketch and label the 2
graphs.
5. Try other functions such as Y = ½ X, Y = ⅓ X, Y = ¾ X. Describe any
patterns that you see.
STOP
Discuss the problems with your partners!
Linear Graphs
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6. Predict what the graph of Y = -X will look like in comparison to the
graph of Y = X. Use your calculator to draw the graph of Y = -X on the
same coordinate plane as the graph of Y = X. Sketch and label the 2
graphs.
7. Try other functions such as Y = -2X and Y = -3X. Describe any patterns
that you see.
8. Try other functions such as Y = - ¼ X and Y = - ½ X. Describe any
patterns that you see.
STOP
Discuss the problems with your partners!
Linear Graphs
page 3 of 5
Part 2
9. Predict what the graph of Y = X - 4 will look like in comparison to the
graph of Y = X. Use your calculator to draw the graph of Y = X – 4 on
the same coordinate plane as the graph of Y = X. Sketch and label the
2 graphs.
10. Try other functions such as Y = X – 2, Y = X – 6, Y = X – 5. Describe
any patterns that you see.
11. Predict what the graph of Y = X + 4 will look like in comparison to the
graph of Y = X. Use your calculator to draw the graph of Y = X + 4 on
the same coordinate plane as the graph of Y = X. Sketch and label the
2 graphs.
12. Try other functions such as Y = X + 2, Y = X + 6, and
Y = X + 5. Describe any patterns that you see.
STOP
Discuss the problems with your partners!
Linear Graphs
page 4 of 5
Now let’s use what you discovered to make some predictions.
13. Describe what the graph of Y = 2X – 4 will look like in comparison to the
graph of Y = X. To check your prediction, use your calculator to draw
the graph of Y = 2X – 4 on the same coordinate plane as the graph of Y
= X.
14. Describe what the graph of Y = -2X + 4 will look like in comparison to
the graph of Y = X. To check your prediction, use your calculator to
draw the graph of Y = -2X + 4 on the same coordinate plane as the
graph of Y = X.
15. Describe what the graph of Y = ½X + 4 will look like in comparison to
the graph of Y = X. To check your prediction, use your calculator to
draw the graph of Y = ½X + 4 on the same coordinate plane as the
graph of Y = X.
16. Describe what the graph of Y = -½X – 4 will look like in comparison to
the graph of Y = X. To check your prediction, use your calculator to
draw the graph of Y = -½X – 4 on the same coordinate plane as the
graph of Y = X.
STOP
Discuss the problems with your partners!
Linear Graphs
page 5 of 5