Transformations of Various Functions Flashcards
1
Q
General function
A
g(x)=af[k(x-d)] + c
2
Q
What is ‘a’?
A
vertical stretch/compression
3
Q
if a>1 or a<-1…
A
Vertical stretch by a factor of a
4
Q
if -1<a<1…
A
Vertical compression by a factor of a
5
Q
if a<0…
A
Vertical reflection
(reflection over the x-axis)
6
Q
What is ‘K’?
A
Horizontal stretch/compression
7
Q
If k>1 or k<-1…
A
Horizontal compression by a factor of 1/k
8
Q
If -1<k<1…
A
Horizontal stretch by a factor of 1/k
9
Q
if k<0…
A
Horizontal reflection
(reflection over the y-axis)
10
Q
What is ‘d’?
A
Horizontal translation
11
Q
if d>0…
A
The graph shifts right
12
Q
if d<0…
A
The graph shifts left
13
Q
What is ‘C’?
A
Vertical translation
14
Q
if c>0…
A
The graph shifts up
15
Q
if c<0…
A
The graph shifts down
16
Q
What is mapping notation?
A
(1/kx + d, ay + c)
17
Q
Quadratic parent function
A
y=x^2
18
Q
Radical parent function
A
y=√x
19
Q
Rational parent function
A
y=1/x
