Math 110 Lectures 12 And 13 - Quadratic Functions Worksheet

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Math 110
CH 3.1(PART I). Quadratic Functions.
Lectures #12 and #13
General and Standard forms of the equation of Quadratic
Functions.
Definition.
( )
=
+
+
≠ 0
2
f x
ax
bx c where a b c are real numbers a
,
, ,
,
is called quadratic function (or second degree polynomial
function) in general form.
( )
(
)
=
2
+
f x
a x h
k
is a standard form of the equation of a
(
)
quadratic function,
, h k is the vertex.
Graphs of Quadratic Functions.
Problem #1.
( ) (
)
=
2
Indicate how the graph of
f x
x
3
2
is
( )
=
2
related to the graph of basic function
f x
x
. Sketch
(
)
2
=
− 2
the graph of
y
x
3
. State the Range of f.
1

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