Secondary Math 2 Vertex Form Of Quadratic Equations Page 2
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1
21
=
=
=
2
2
2
4. Fill in the tables for
y
x
,
y
2 , and
x
y
x
, then graph them on the same set of axes in
2
different colors.
=
=
=
2
2
2
1
y
x
y
x
y
2
x
2
x
y
x
y
x
y
–2
–2
–2
–1
–1
–1
0
0
0
1
1
1
2
2
2
=
2
For the function
y ax
,
describe how the value of
a
affects the graph.
Without using a graphing calculator, answer the following questions based on your results above.
(
)
=
+
+
2
5. Give the coordinates of the vertex of
y
x
3
4
.
= −
2
6. Describe what the graph of
y
2
x
looks like. Be specific—which way does it open, where is the
=
2
vertex, how is its shape similar to or different from the graph of
y
x
?
(
)
=
−
−
2
7. Use an x,y table to help you sketch the graph of
y
2
x
2
1.
Make sure that you pick points on
both sides of the vertex so that you can sketch the complete graph.
(
)
=
−
2
− 1
y
2
x
2
x
y
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