Quadratic Functions In Vertex Form Worksheet - Math 2200 Unit 2 Page 8
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30Unit 2 – Quadratics
Math 2200
8
Conclusions
: for each parameter.
y
y
A. The Effect of Parameter “a” in
2
2
ax
x
on the Graph of
a determines the orientation and shape of the parabola
Direction of Opening:
o If
a
0
, (if a is positive) it opens up and has a minimum point
o If
a
0
, (if a is negative) it opens down and has a maximum point
y
If
2
1
a
1
x
, the parabola is wider compared to the graph of
y
If
2
a
1
a
1
x
or
, the parabola is narrower compared to the graph of
y
2
2
B. The Effect of Parameter “q” in
y
x
q
x
on the Graph of
q translates the parabola vertically
q = y-coordinate of vertex
y
C. The Effect of Parameter “p” in
2
2
y
(
x
p
)
x
on the Graph of
p translates the parabola horizontally
p = x-coordinate of vertex
the equation of the axis of symmetry is x = p
The vertex is (p, q)
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