Properties Of The Graph Of A Quadratic Function Worksheet Page 4
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1
2
3
4Reasoning
-
=
+
2
In the following problems you will be analyzing the graph of
y
ax
c
to determine the effect of the
values of a and c on the graph of the quadratic function.
=
=
=
2
2
2
5. Graph each of the following parabolas on the set of axes below:
y
x y
,
2
x
, and
y
3
x
y
x
Question: What do we notice about the graphs with different values of a?
=
=
<
=
2
2
2
Fact: Given the equations
y mx
and
y nx
, when m
n
the graph of
y mx
is wider than
=
2
the graph of
y nx
.
=
=
−
=
+
2
2
2
6. Graph each of the following parabolas on the set of axes below:
y
x y
,
x
3
and
y
x
5
y
x
=
+
2
Question: What are the effects of positive and negative values of c on the graph of
y ax
c
?
Algebra 1, Unit 5 – Quadratic Functions – L1
The Arlington Algebra Project, LaGrangeville, NY 12540
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