3.5 Graphs in Three Dimensions 1.Graphing Points in Three Dimensions 2.Graphing Equations in Three...
25
3.5 Graphs in Three Dimensions 1. Graphing Points in Three Dimensions 2. Graphing Equations in Three Dimensions
-
Upload
jeremiah-mccann -
Category
Documents
-
view
241 -
download
0
Transcript of 3.5 Graphs in Three Dimensions 1.Graphing Points in Three Dimensions 2.Graphing Equations in Three...
3.5 Graphs in Three Dimensions
1. Graphing Points in Three Dimensions
2. Graphing Equations in Three Dimensions
Today…we enter…the third dimension…
1) Graphing Points in Three Dimensions
Photos from:
http://users.skynet.be/J.Beever/pave.htm
Street artist Julian Beever
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…
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
1) Graphing Points in Three Dimensions
Points are communicated as
(x, y, z)
Example 1:
Graph (0, 3, -2).
1) Graphing Points in Three Dimensions
Example 1:
Graph (0, 3, -2).
Answer:
x = 0; no movement
1) Graphing Points in Three Dimensions
x
-x
y
-y
z
-z
Example 1:
Graph (0, 3, -2).
Answer:
x = 0; no movement
y = 3; move right 3 units
1) Graphing Points in Three Dimensions
x
-x
y
-y
z
-z
Example 1:
Graph (0, 3, -2).
Answer:
x = 0; no movement
y = 3; move right 3 units
z = -2; move down 2 units
1) Graphing Points in Three Dimensions
x
-x
y
-y
z
-z
Example 1:
Graph (0, 3, -2).
Answer:
x = 0; no movement
y = 3; move right 3 units
z = -2; move down 2 units
1) Graphing Points in Three Dimensions
x
-x
y
-y
z
-z
(0, 3, -2)
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
1) Graphing Points in Three Dimensions
x
-x
y
-y
z
-z
Example 2:
Graph (-3, 3, -4).
Answer:
x = -3; move backward 3 units
y = 3; move right 3 units
1) Graphing Points in Three Dimensions
x
-x
y
-y
z
-z
x
-x
y
-y
z
-z
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
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
1) Graphing Points in Three Dimensions
x
-x
y
-y
z
-z
(-3, 3, -4)
Example 3:
Find the coordinate of the point below.
1) Graphing Points in Three Dimensions
x
-x
y
-y
z
-z
Example 3:
Find the coordinate of the point below.
Therefore,
the solution
is (2, -3, 3)
1) Graphing Points in Three Dimensions
x
-x
y
-y
z
-z
(2, -3, 3)
Homework
(1) p.149 #1-12, 25
QUIZ: 3.1, 3.2 on WEDNESDAY
