APPC flashcards
(14 cards)
The a in
g (x)= a.f (b ( x+h )+_k
Vertical dilation by a factor of
a
Reflection over x-axis if
a < 0
The h in
g (x)= a.f (b ( x+h )+_k
Horizontal translation
Left when
x + h
, Right when
x - h
The k in
g (x)= a.f (b ( x+h )+_k
Vertical translation
Up when
k > 0
, down when
k < 0
The b in
g (x)= a.f (b ( x+h )+_k
Horizontal dilation by a factor of
1/b
Reflection over y-axis if
b < 0
Average Rate of Change between
(a, f(a))
and
(b, f(b))
f (b) - f (a) / b - a
Where is a function positive/negative?
Positive – when the y-coordinates are above
the x-axis
Negative – when the y-coordinates are below
the x-axis
What defines an increasing/decreasing
function?
Increasing when the outputs increase as the
inputs increase
Decreasing when the outputs decrease as the
inputs increase
What is a Point of Inflection?
The ordered pair where concavity changes
What justifies an increasing rate of change?
When a function is concave up
What does it mean if c is odd in
f(x) = a(x-b)^c
c is a zero with odd multiplicity
The graph of f will cross the x-axis at
x = c
What does it mean if c is even in
f(x) = a(x-b)^c
c is a zero with even multiplicity
The graph of f will touch the x-axis and turn
at
x = c
What justifies a decreasing rate of change?
When a function is concave down
What is an even function?
When f(-x) = f(x)
Appears symmetric about the y-axis
What is an odd function?
When f(-x) = -f(x)
Appears symmetric about the origin (rotational)
