Unit 2- Introduction To Transformations Flashcards
What is a Y axis
A vertical line
What is a Y coordinate
Half a point
What is a Y intercept
Point: (0,y)
What does it mean to transform a graph
Change it
How can you translate something
Up, down, right, left
Define isometry
Transformations that preserve length an angle measures (figure looks the same)
Pre-image
image
Starting point X
Point after transformation X’
Left (h)
Translation
Subtract h from x
x,y)➡️(x-h,y
Right (h)
Translation
Add h to x
x,y)➡️(x+h,y
Up (k)
Translation
Add k to y
X,y)➡️(x,y+k
Down (k)
Translation
Subtract k from y
x,y)➡️(x,y-k
X-axis
Reflections
(x,y)➡️(x,-y)
Up/ down switching
Y axis
Reflections
(x,y)➡️(-x,y)
Right/ left switching
Y=X
Reflections
(x,y)➡️(y,x)
Switch both coordinates
Y=-X
Reflections
(x,y)➡️(-y,-x)
Switch and opposite both coordinates