# 3.5 Graphs in Three Dimensions

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

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

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

1) Graphing Points in Three Dimensions

1) Graphing Points in Three Dimensions

1) Graphing Points in Three Dimensions

1) Graphing Points in Three Dimensions

1) Graphing Points in Three Dimensions

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.

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.

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…

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

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)

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

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

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

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

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)

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

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

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

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

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)

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

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)

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

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