Linear
y = mx + b
m = constant rate of change.
b = y­intercept
Quadratic
y = ax2 + bx + c
rate of changes varies over curve.
c = y­intercept
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Example 1:
Determine whether each function is linear or quadratic.
Identify the quadratic, linear and constant terms.
Quadratic Function
Linear Function
Linear Term
Quadratic Term
Constant Term
Quadratic Function
Linear Function
Co
ea
rm
dr
m
e
T
ua
at
ea
er
m
er
tic
ra
Lin
Q
ta
n
t T
r T
ad
ns
Lin
Qu
Constant Term
r T
erm
ic
Te
rm
Quadratic Function
Linear Function
Co
ns
m
er
T
nt
ta
m
er
c T
erm
r T
ati
ea
dr
Lin
a
Qu
Linear Term
Quadratic Function
Linear Function
er
m
nt
T
er
m
m
T
ta
er
m
nt
er
m
T
er
ns
ta
ns
r T
Co
tic
r T
ra
ea
ea
Lin
ad
Qu
Lin
Co
2
• The graph of a quadratic function is called a Parabola.
• The Axis of Symmetry is the line that divides a parabola in half.
• The Vertex of a parabola is the maximum or minimum value of the function.
Example 2:
Identify the vertex and the axis of symmetry of each parabola.
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Example 3:
Identify the points (P' and Q') corresponding to P and Q.
4
Find c.
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