Recognizing functions and Translations Flashcards
1
Q
quadratic function equation
A
f(x)=x2
2
Q
absolute value function equation
A
F(x)=|x|
3
Q
cubic function equation
A
f(x)=x3
4
Q
equation for square root function
A
F(x)= *square root sign* x
5
Q
asympote
A
when line approaches x axis but never touches it
6
Q
exponential decay function
A
f(x)=bx
where 0
7
Q
exponential growth function equation
A
f(x)= bx
where IbI is>0
8
Q
vertical shifts equation
A
(f(x)+c= up c units
f(x)-c= downward c units
9
Q
horozontal shift equations
A
f(x+c)= left c units
f(x-c) right c units
10
Q
reflection over x axis
A
-f(x)
11
Q
reflection over y-axis
A
f(-x)
12
Q
vertical stretch and shrink equation
A
a·f(x), a >1 is a stretch by a factor of a
a·f(x), 0
13
Q
horozontal strecth and shrink
A
Shrink: f(ax), a>1 shrink by a factor if 1/a, since you go by the reciprocal of what’s shown
Stretch: f(ax), 0
