Standard Forms (p.1)
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Straight Line
Ax + By + C = 0



Ordered Pairs
eg.

Function Notation
eg.

differentiate FUNCTION and RELATION
 Function: 1x for 1y
 Relation: 1x for 2 ys
a
function is a rule that associates 1 x to 1 y.

rule for square route functions
eg.
(cannot be negative!)

rule for fraction functions
eg.
denominator cannot be 0! (solve for x)

LINEAR
eg.
OR
diagonal!

CONSTANT
eg.
OR
straight horizontal line

QUADRATIC
eg.
parabola!

CUBIC
eg.
squiggly diagonal!

ABSOLUTE VALUE
eg.
straight V shape!

SQUARE ROUTE
eg.
half of sideways parabola!
(hill)

CIRCLE
eg.
OR
well, a circle.

SEMICIRCLE
eg.
or
semicircle.

when is a function increasing?
when
whenever
.

What happens to a quadratic
formation when...
the VERTEX moves up 1

What happens to a quadratic formation when...
see what makes x = 0.
that number is the vertex. (eg, x = +2)

how to find yint of a function?
let x = 0

the standard form of a quadratic function is
.
what is the VERTEX form?
 vertex form:

what happens to
range and
domain when a function has
or
?
 solve it normally, it makes no difference.
 (except with 3 the numbers can stay negative)

what happens when you take the squared off of
and apply it to the 2?
 it becomes
 (if you make it your own square route)

how do you find the MAX or MIN of a function?
take the Y value at its max or minimum point. eg, y = 8.

how do you go from
standard form to
vertex form ?
complete the square!
so...

how do you find the
vertex from
form?