CHAPTER 6 Flashcards

1
Q

translation/shift/slide

A

transformation where point is moved equal distance

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

types of shifts

A

vertical shift/horizontal shift

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

y = f(x) +k

A

vertical shift k units up

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

y = f(x)-k

A

vertical shift k units down

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

y = f(x+h)

A

horizontal shift h units to left

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

y = f(x-h)

A

horizontal shift h units to right

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

reflection

A

reflect

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

line of reflection

A

where it reflects

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

flip

A

reflection

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

reflection about x-axis

A

y=f(x) y=-f(x)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

reflection about y-axis

A

y=f(x) y=f(-x)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

dilation

A

new graph geometrically similar that has gone through vertical stretch or compression or horizontal stretch or compression

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

vertical stretch

A

if a > 1, y2 = af(x) away from x axis, defined by y1 = f(x)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

vertical compression

A

0<a></a>

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

horizontal compression

A

towards from y-axis

b>1, y3 = f(bx)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

horizontal stretch

A

away y-axis

0<b></b>

17
Q

rigid transformation

A

graph is same after transformation

18
Q

nonrigid transformation

A

graph is shape is different after transformation

19
Q

always do _ shifts last

A

vertical

20
Q

transformation combination

A

book

21
Q

even functions

A

for every x in the domain of f, -x is in the domain of f and f(-x) = f(x)

22
Q

even function are symmetric about the _-axis

A

y

23
Q

odd functions

A

for every x in the domain of f, -x is in the domain of f and f(-x)=-f(x)

24
Q

odd function are symmetric about the _

A

origin

25
Q

true or false: some functions are neither even or odd

A

true