4. graphs and transformations Flashcards
1
Q
y = f(x + a)
example
f(x + 2) =
A
(x-a) y is the same
example
vector -2 0
2
Q
y= f(x-a)
example
f( x - 2)
A
(x+a) y is the same
example
vector +2 0
3
Q
y=f(x) + a
example
f(x) + 2
A
(y+a) x is the same
example vector 0 +2
4
Q
y=f(x) - a
example
f(X) -2
A
(y-a) x is the same
example
vector 0 -2
5
Q
y = f(ax)
example
f(2x)
A
x divided by a (y is the same)
scale factor of 1/2 to x
6
Q
y= af(x)
example
2f(x)
A
y x a (x is the same)
example
scale factor of 1/2 of y
7
Q
y = f(-x)
example
f(2x)
A
reflection in the y axis
example
scale factor of 1/2 to x
8
Q
y = -f(x)
example
2f(x)
A
reflection in x axis
example
scale factor of 1/2 to x
9
Q
reciprocal functions
A
y= 1/x
y= 1/x^2
y= -2/x
