Translations and Transformations Flashcards
(21 cards)
a*f(x) when a>1
Vertical Stretch
a*f(x) when 0<a<1
Vertical Compression
What do vertical stretches/compressions say to do?
Multiply all y values by a
f(b*x) when b>1
Horizontal compression
f(b*x) when 0<b<1
horizontal stretch
what do horizontal stretches/compressions say to do?
Multiply all x values by 1/b (reciprical)
-f(x)
vertical reflection
f(-x)
horizontal reflection
f(x)+d
vertical shift up d units
f(x)-d
vertical shift down d units
f(x+c)
horizontal shift left <- c units
f(x-c)
horizontal shift right -> c units
which translations occur when the function is on the inside
horizontal
which translations occur when the function is on the outside
vertical
what trans comes first?
horizantal shifts
what trans comes 2
horizontal st/c
what trans comes 3
horizontal reflection
what trans comes 4
vertical reflection
what trans comes 5
vertical stretch/compression
what trans comes 6
vertical shift
what is the order of trans
horizontal shift
horizontal s/c
horizontal reflection
vertical reflection
vertical st/c
vertical shift
