Section 1.3 Flashcards
1
Q
y = f(x) + c
A
shifts graph c units upward
2
Q
y = f(x) - c
A
shifts graph c units downward
3
Q
y = f(x-c)
A
shifts graph c units to right
4
Q
y = (f(x+c)
A
shifts graph c units to left
5
Q
Translations
A
Vertical and Horizontal Shifts
6
Q
Stretching and Reflecting
A
Vertical and Horizontal Stretching and Reflecting
7
Q
y = cf(x)
A
stretch graph vertically by factor of c
8
Q
y = (1/c)f(X)
A
shrinks graph vertically by factor of c
9
Q
y = f(cx)
A
shrinks the graph horizontally by factor of c
10
Q
y = f(x/c)
A
stretch graph horizontally by factor of c
11
Q
y=-f(x)
A
reflects graph about x-axis
12
Q
y=f(-x)
A
reflects graph about y-axis
13
Q
Composite Function
A
Given two functions f and g, the composite function f (little circle) g (also called the composition of f and g) is defined by: (f (little circle) g)(x) = f(g(x)).
