CHAPTER 6 Flashcards
translation/shift/slide
transformation where point is moved equal distance
types of shifts
vertical shift/horizontal shift
y = f(x) +k
vertical shift k units up
y = f(x)-k
vertical shift k units down
y = f(x+h)
horizontal shift h units to left
y = f(x-h)
horizontal shift h units to right
reflection
reflect
line of reflection
where it reflects
flip
reflection
reflection about x-axis
y=f(x) y=-f(x)
reflection about y-axis
y=f(x) y=f(-x)
dilation
new graph geometrically similar that has gone through vertical stretch or compression or horizontal stretch or compression
vertical stretch
if a > 1, y2 = af(x) away from x axis, defined by y1 = f(x)
vertical compression
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horizontal compression
towards from y-axis
b>1, y3 = f(bx)
horizontal stretch
away y-axis
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rigid transformation
graph is same after transformation
nonrigid transformation
graph is shape is different after transformation
always do _ shifts last
vertical
transformation combination
book
even functions
for every x in the domain of f, -x is in the domain of f and f(-x) = f(x)
even function are symmetric about the _-axis
y
odd functions
for every x in the domain of f, -x is in the domain of f and f(-x)=-f(x)
odd function are symmetric about the _
origin
true or false: some functions are neither even or odd
true
