2
Transformations
of graphy
of function
changes to the formula a
changes to the
graph of a function
Shapes are I
similar
can be obtained
in formula
by changes
XI x2 ) (X 2)2
=
"3(X 2)2 + 7
-
-
=> "3(x 2)2 -
) /z(X 2)2 + 7
= -
"Basic Graphs"
in
M T N - T
[
↑
~
rx
y (x)
k x3
y X2 3x
=
(x y
y X
y y
= = = = =
y
=
y
=
Reflections typically associated w/ *
signs . . .
y f(x)
=
inside outside
sign sign on on
f( x) i Y f(x)
E-
y
=
= -
=
-
reflects y-axis reflexs X-axis
~ reflect on
X-axis
reflect
y-axis
on