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Reference Tables for Pre-Calculus
Linear Equations, Quadratic Equations and Absolute Value
Standard Form of the Equation of a Line
ax
+
by
+
c
= 0 with either
a
0 or
b
0
Slope-Intercept Form of the Equation of a Line
y
=
mx
+
b
where
m
= the slope and
b
= the
y
-intercept
Point-Slope Form of the Equation of a Line
y
–
y
1
=
m
(
x
–
x
1
) where
m
= the slope and (
x
1
,
y
1
) is a point on the line
Standard Form of a Quadratic Equation
y
=
ax
2
+
bx
+
c
with
a
0
Equation of the Axis of Symmetry of a Parabola
The Quadratic Formula
Vertex Form of a Parabola
y
=
a
(
x
–
h
)
2
+
k
where (
h
,
k
) is the turning point.
Example: Given the following equation:
Root Form of a Parabola
y
=
a
(
x
–
r
1
)(
x
–
r
2
) where
r
1
and
r
2
are the roots
Absolute Value
where (
h
,
k
) is the vertex
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0 or b 0 0
where (h, k) is the vertex