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Andrada N.

• 33

cards
y= f(x)+c

Vertical shift of the graph of y= f(x) a distance c units upward

y=f(x)-c

Vertical shift of the graph of y= f(x) a distance c units downward

y=f(x-c)

Horizontal shift of the graph of y= f(x) a distance c units to the right

y=f(x+c)

Horizontal shift of the graph of y= f(x) a distance c units to the left

y=f(-x)

Horizontal reflection of the graph of y= f(x) across the y-axis

y=-f(x)

Vertical reflection of the graph of y= f(x) across the x-axis

y=f(^{x}/_{c})

y=f(cx)

y=c(f(x))

y= ^{1}/_{C}•f(x)

a^{y} = x

Rearrange equation in logarithmic form.

log_{a}1 =

log_{a}a =

e^{y} = x

Rearrange equation in logarithmic form.

lnx is the same thing as...

log_{a}(xy) =

log_{a}(x/y) =

log_{a}x^{r} =

lne^{x} =

e^{lnx} =

Conditions for Continuity

What 6 functions are continuous at every number in their domain?

d/dx(sinx) =

d/dx(cosx) =

d/dx(tanx) =

d/dx(cscx) =

d/dx(secx) =

d/dx(cotx) =

Implicit Differentiation

If s=f(t), position function of a particle that is moving in a straight line, then...

Acceleration a(t) =

L'Hospital's Rule

The definition of a derivative

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