QF5 - richmirempm2dw-phs

advertisement
QF5 ­ Transformations Lesson.notebook
November 12, 2015
Warm up - record your answers on the sheet provided.
No sharing of answers please.
y
Graph on the same axis.
Clearly label each function.
10
9
8
7
6
5
4
3
2
1
­10
­8
­6
­4
­2
x
0
2
4
­2
­3
­4
­5
­6
­7
­8
­9
­10
Identify the key features of each graph.
p. 213 #1ef, 2ab, 3 homework questions? p.222
p. 223 #1ab 6
8
10
QF5 ­ Transformations Lesson.notebook
November 12, 2015
Transformations of Quadratic Functions
How does the graph of y=a(x-h)2+k compare with the graph of y=x2 ?
a
h
k
Example 1:
Graph the relation by applying transformations to y=x2
y
10
9
8
7
6
5
4
3
2
1
Transformations:
­10
a= h= k=
vertex:
direction of opening:
pattern:
axis of symmetry:
max/min value:
domain:
range:
­8
­6
­4
­2
x
0
­2
­3
­4
­5
­6
­7
­8
­9
­10
2
4
6
8
10
QF5 ­ Transformations Lesson.notebook
November 12, 2015
Example 2:
Graph the relation by applying transformations to y=x2
y
10
9
8
7
6
5
4
3
2
1
Transformations:
­10
­8
­6
­4
­2
x
0
2
4
6
8
10
­2
­3
­4
­5
­6
­7
­8
­9
­10
a= h= k=
vertex:
direction of opening:
pattern:
axis of symmetry:
max/min value:
domain:
range:
Example 3: Graph the relation using the vertex and
graphing pattern.
y
a= h= k=
vertex:
direction of opening:
pattern:
axis of symmetry:
max/min value:
domain:
range:
10
9
8
7
6
5
4
3
2
1
­10
­8
­6
­4
Transformations:
Practice
p. 222: #1de, 2cd, 3, 5, 6
­2
x
0
­2
­3
­4
­5
­6
­7
­8
­9
­10
­11
­12
­13
2
4
6
8
10
Download