math 2: transformations & symmetry Flashcards
1
Q
3 types of transformations;
A
translations, stretches/shrinks, reflectrions
2
Q
y= f(x) + k translates y = f(x)
A
k units vertically
3
Q
y = f(x-h) translates y = f(x)
A
h units horizontally
4
Q
y = af(x) stretches/ shrinks f(x)
A
vertically by a factor of |a|
5
Q
y = f(ax) shrinks/ stretches
A
f(x) horizontally by a factor of |1/a|
6
Q
y = -f(x) reflects y = f(x)
A
about the x-axis
7
Q
y = f(-x) reflects y=f(x)
A
about the y-axis
8
Q
symmetry about the y-axis
A
f(x) = f(-x) for all x
9
Q
symmetry about the x-asix:
A
f(x)= -f(x) for all x
10
Q
symmetry about the origin:
A
f(x) = -f(-x) for all x
