Unit 5, Lesson 3
More Movement
Integrated Math 3
3.1
Warm-up
Moving a Graph
How can we translate the graph of A to match one of the other graphs?
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How can we translate the graph of A to match one of the other graphs?
Remember the bakery with the thermostat set to
Graph of function
A piece of meat is taken out of the freezer to thaw. The data points show its temperature
| 0 | 13.1 |
| 0.41 | 22.9 |
| 1.84 | 29 |
| 2.37 | 36.1 |
| 2.95 | 36.8 |
| 3.53 | 38.8 |
| 3.74 | 40 |
| 4.17 | 42.2 |
| 4.92 | 45.8 |
Coordinate plane. Horizontal axis, t, hours, from 0 to 10 by 5’s. Vertical axis, M, degrees Fahrenheit, from negative 60 to 60 by 20’s. 9 data points plotted at 0 comma 13 point 1, 0 point 41 comma 22 point 9, 1 point 84 comma 29, 2 point 37 comma 36 point 1, 2 point 95 comma 36 point 8, 3 point 53 comma 38 point 8, 3 point 74 comma 40, 4 point 17 comma 42 point 2, 4 point 92 comma 45 point 8. Function moving upwards and to the right passing through negative 62 comma 0, 5 comma negative 27, and 10 comma negative 12.
Jada thinks changing the equation to
Remember the pumpkin catapult? The function
Now suppose
Since we know the pumpkin's height
Graph of two quadratic functions, origin O. Horizontal axis, time (seconds), scale 0 to 9 by 1’s. Vertical axis, height (feet), scale 0 to 90 by 10’s. Function h starts at the origin, goes through the vertex at (2 comma 66) and back down near (4, 0). Function k starts at (5 comma 0), goes through the vertex at (7 comma 66) and back down near (9 comma 0). The distance horizontally between the vertices of h and k is 5.
Suppose there was a third function,