Moving a graph from one spot to another
Translation
f(x)-4 goes in which direction?
down
What function reflects over the y-axis?
f(-x)
what function reflects over the x-axis?
-f(x)
When the graph gets 4 times closer to the y-axis, the function is...
1/4f(x)
When the graph gets 3 times closer to the y-axis, the function is...
1/3f(x)
What is it called when you flip a graph across an axis?
Reflection
right 3 units, down 4 units
f(x-3)-4
left 5 units
f(x+5)
output = 3
f(3)
What is it called when a function gets closer to the x-axis/y-axis after a transformation?
Compressed/shrink
left 3 units
f(x+3)
the "x" and the "y" are called...
the axis/axes
What is changing the size of a graph without changing its shape?
Dilation
What is it called when a function gets further from the x-axis/y-axis after a transformation?
stretching
function "k" goes right 2 units, how do we show that in a graph?
k(x-2)
right 7 units
f(x-7)
When two or more parts are identical after a flip it is called...
Symmetry
right 3 units, up 3 units
f(x-4)+3
function "g" goes right 4 units, how do we show that in a graph?
g(x-4)
the graph gets 2 times further from the x-axis, what is the function?
f(1/2x)
a function goes up 2 units, how do we show that in a graph?
f(x)+2
WHAT IS THE OUTPUT???
f(x)
a function goes down 4 units, how do we show that in a graph?
p(x)-4
the graph gets 2 times further from the y-axis, what is the function?
2f(x)