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3.5 Graphs in Three Dimensions

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Presentation on theme: "3.5 Graphs in Three Dimensions"— Presentation transcript:

1 3.5 Graphs in Three Dimensions
Graphing Points in Three Dimensions Graphing Equations in Three Dimensions

2 1) Graphing Points in Three Dimensions
Today…we enter…the third dimension… Street artist Julian Beever Photos from:

3 1) Graphing Points in Three Dimensions

4 1) Graphing Points in Three Dimensions

5 1) Graphing Points in Three Dimensions

6 1) Graphing Points in Three Dimensions

7 1) Graphing Points in Three Dimensions

8 1) Graphing Points in Three Dimensions
We live in a 3D world and need a “third dimension” to describe location Example: Name the three dimensions of the figure below.

9 1) Graphing Points in Three Dimensions
We live in a 3D world and need a “third dimension” to describe location Example: Name the three dimensions of the figure below. Answer: The figure has length, width and height.

10 1) Graphing Points in Three Dimensions
The x-axis describes horizontal movement The y-axis describes vertical movement The z-axis describes movement somewhere in between…

11 1) Graphing Points in Three Dimensions
How to graph in 3-dimensions… x – shift forward and backward y – shift left and right z – shift up and down

12 1) Graphing Points in Three Dimensions
How to graph in 3-dimensions… x – shift forward and backward y – shift left and right z – shift up and down Points are communicated as (x, y, z)

13 1) Graphing Points in Three Dimensions
Example 1: Graph (0, 3, -2).

14 1) Graphing Points in Three Dimensions
Example 1: Graph (0, 3, -2). Answer: x = 0; no movement x -x y -y z -z

15 1) Graphing Points in Three Dimensions
Example 1: Graph (0, 3, -2). Answer: x = 0; no movement y = 3; move right 3 units x -x y -y z -z

16 1) Graphing Points in Three Dimensions
Example 1: Graph (0, 3, -2). Answer: x = 0; no movement y = 3; move right 3 units z = -2; move down 2 units x -x y -y z -z

17 1) Graphing Points in Three Dimensions
Example 1: Graph (0, 3, -2). Answer: x = 0; no movement y = 3; move right 3 units z = -2; move down 2 units x -x y -y z -z (0, 3, -2)

18 1) Graphing Points in Three Dimensions
Example 2: Graph (-3, 3, -4).

19 1) Graphing Points in Three Dimensions
Example 2: Graph (-3, 3, -4). Answer: x = -3; move backward 3 units x -x y -y z -z

20 1) Graphing Points in Three Dimensions
Example 2: Graph (-3, 3, -4). Answer: x = -3; move backward 3 units y = 3; move right 3 units x -x y -y z -z

21 1) Graphing Points in Three Dimensions
Example 2: Graph (-3, 3, -4). Answer: x = -3; move backward 3 units y = 3; move right 3 units z = -4; move down 4 units x -x y -y z -z

22 1) Graphing Points in Three Dimensions
Example 2: Graph (-3, 3, -4). Answer: x = -3; move backward 3 units y = 3; move right 3 units z = -4; move down 4 units x -x y -y z -z (-3, 3, -4)

23 1) Graphing Points in Three Dimensions
Example 3: Find the coordinate of the point below. x -x y -y z -z

24 1) Graphing Points in Three Dimensions
Example 3: Find the coordinate of the point below. Therefore, the solution is (2, -3, 3) x -x y -y z -z (2, -3, 3)

25 Homework p.149 #1-12, 25 QUIZ: 3.1, 3.2 on WEDNESDAY


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