Transformations Flashcards
Where are invariant points located on graph of -f(x)?
On x-axis
f(-x)
Reflection in y-axis
-f(x)
Reflection in x axis
K value
Vertical translation k units up/down
-k= down
+k= up
H value
Horizontal translation h units left/right
-h= left
+h= right
B value
Horizontal stretch by a factor of 1/b about the y axis
A value
Vertical stretch by a factor of a about the x axis
Where are the invariant located on the graph of f(-x)
the y-axis
Where are the invariant points located on the graph of x=f(y) (inverse)
the line of y=x
Where are the invariant points located on the graph of √f(x)
points where y = 0 & 1
Order of operations
SmaRT
- stretches
- reflections
- translations
replacement of variables
x –> bx
y –> y/a
x –> x-h
y –> y-k
Mapping notation
(x,y) –> (x/b+h, ay+k)
Horizontal Stretch effect
wider when 0<b>1</b>
Vertical stretch effect
shorter when 0<a>1</a>
Always factor out the _ value
B bitch
How can you figure is a graph is a function?
vertical line test
_ test done to check if the inverse is a function without graphing it
do the horizontal line test on the original function
if the line crosses more then one point on the graph it fails the test, making the inverse not a function.
