1.4 Sketching Graphs of Functions Flashcards
1
Q
Function Notation
A
f(x) = af[k(x-p)]+q
2
Q
Mapping Notation
A
(1/k x+p, ay+q)
3
Q
Parabola
A
f(x) = a[k(x-p)]2 +q
4
Q
Reciprocal
A
f(x) = a (1/k[x-p]) +q
5
Q
Root
A
f(x) = a√l[k-p] +q
6
Q
Absolute Value
A
f(x)=a(k|x-p|) +q
7
Q
What is ‘a’?
A
Vertical stretch/compression
8
Q
Vertical stretch if…
A
a>1 OR a<-1
9
Q
Vertical compression if…
A
-1<a<1
10
Q
Vertical reflection if…
A
a<0
- reflection over the x-axis
11
Q
What is ‘k’?
A
Horizontal stretch/compression
12
Q
Horizontal compression if…
A
k>1 OR k<-1
13
Q
Horizontal stretch if…
A
-1<k<1
14
Q
Horizontal reflection if…
A
k<0
- reflection over the y-axis
15
Q
What is ‘p’?
A
Horizontal translation
16
Q
Graph shifts right if…
A
p>0
17
Q
Graph shifts left if…
A
p<0
18
Q
What is ‘q’?
A
Vertical translation
19
Q
Graph shifts up if…
A
q>0
20
Q
Graph shifts down if…
A
q<0
21
Q
P value represents?
A
- The vertical asymptote
- Goes in domain
22
Q
Q value represents?
A
- The horizontal asymptote
- Goes in range
