pc11.notebook september 25, 2017mrdamicosclasses.weebly.com/uploads/4/4/3/8/... · pc11.notebook 2...
TRANSCRIPT
PC11.notebook
1
September 25, 2017
2 e.
Fun Function Friday Quiz Match each function to its graph
PC11.notebook
2
September 25, 2017
Warm up Determine whether the ordered pair lies on the graph
1. 2.
Sketch the graph.
3.
6 5 4 3 2 1 0 1 2 3 4 5 6
6
5
4
3
2
1
1
2
3
4
5
6
x
y
PC11.notebook
3
September 25, 2017
Name one solution to the equation:
y = 3x + 7
Ex. 1: Sketch Graphs
y = 3x + 7
Point plotting method of graphing:
x2 y = 2x yxy
PC11.notebook
4
September 25, 2017
6 5 4 3 2 1 0 1 2 3 4 5 6
6
5
4
3
2
1
1
2
3
4
5
6
x
y
PC11.notebook
5
September 25, 2017
Intercepts
6 5 4 3 2 1 0 1 2 3 4 5 6
6
5
4
3
2
1
1
2
3
4
5
6
x
y
PC11.notebook
6
September 25, 2017
WarmUp
1. Sketch a graph of:y = x2 + 1
Find the intercepts:
2. y = 9x 7
3. 2y = x3 16x
6 5 4 3 2 1 0 1 2 3 4 5 6
6
5
4
3
2
1
1
2
3
4
5
6
x
y
PC11.notebook
7
September 25, 2017
Symmetry
xaxis
yaxis
origin
PC11.notebook
8
September 25, 2017
Tests for symmetry:
If replacing y with y gives the same equation, then the graph has ______ symmetry.
If replacing x with x gives the same equation, then the graph has ______ symmetry.
If replacing x and y with x and y gives the same equation, then the graph has ______ symmetry.
y2 + 1 = x
y = x2 2
y = x3
PC11.notebook
9
September 25, 2017
PC11.notebook
10
September 25, 2017
Ex. 1:
Test for symmetry and sketch the graph of
x y2 = 1
PC11.notebook
11
September 25, 2017
y = (x 3)2`
PC11.notebook
12
September 25, 2017
Assignment: Pages 19 #19 37, 67,69,75,77 odd
PC11.notebook
13
September 25, 2017
WarmUp
Test for which symmetry (xaxis, yaxis, origin, neither)
1. x = y2 5
2. y = x2 1
3. y = 1/x
4. y = x3 1
6 5 4 3 2 1 0 1 2 3 4 5 6
6
5
4
3
2
1
1
2
3
4
5
6
x
y
PC11.notebook
14
September 25, 2017
PC11.notebook
15
September 25, 2017
Circles
PC11.notebook
16
September 25, 2017
Equations of Circles
6 5 4 3 2 1 0 1 2 3 4 5 6
6
5
4
3
2
1
1
2
3
4
5
6
x
y
(x,y)> point on circle
(h,k)>center of circle
PC11.notebook
17
September 25, 2017
Ex. 1:
The point (3, 4) lies on a circle with the center (1, 2). Write the standard form of its equation.
6 5 4 3 2 1 0 1 2 3 4 5 6
6
5
4
3
2
1
1
2
3
4
5
6
x
y
PC11.notebook
18
September 25, 2017
Completing the square
x2 + 6x 13 = 5
PC11.notebook
19
September 25, 2017
Find the center and the radius of the circle. Sketch the graph.
PC11.notebook
20
September 25, 2017
HW. p. 10
#5767 odd.
PC11.notebook
21
September 25, 2017
Warm up Use the information to write the standard form equation of the circle.
(xh)2 + (y k)2 = r2
1.
4. Name the center and the radius
2.
(x +3)2 + (y 4)2 = 30
Center(3,2) point on circle (1,1)
3.
PC11.notebook
22
September 25, 2017
PC11.notebook
23
September 25, 2017
PC11.notebook
24
September 25, 2017
PC11.notebook
25
September 25, 2017
6 5 4 3 2 1 0 1 2 3 4 5 6
6
5
4
3
2
1
1
2
3
4
5
6
x
y
10 8 6 4 2 0 2 4 6 8 10
10987654321
12345678910
x
y
PC11.notebook
26
September 25, 2017
PC11.notebook
27
September 25, 2017
Warm up Write the standard form equation of each circle.
1.2. Ends of a diameter: (18,13) and (4,3)
3. 4x2 + 4y2 4x + 2y 1 = 0
PC11.notebook
28
September 25, 2017
PC11.notebook
29
September 25, 2017