Converting To Vertex Form Page 2
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1
22
2
3.
Let
2
10
7
4.
Let
5
1
=
−
+
= −
−
+
y
x
x
y
x
x
a. State the y-intercept.
a.
Convert to vertex form by completing the
square.
b.
Use the technique of completing the square
to express the quadratic in vertex form.
Show your work in a clear, organized
manner.
b.
State the coordinates of the vertex.
c.
Check your equation from part (b) by
c.
Analytically determine the zeros of the
showing that you get the same y-intercept
function.
as in part (a). Show work.
d.
Sketch the graph of the quadratic by
plotting the vertex, the y-intercept and the
image of the y-intercept over the axis of
symmetry.
d.
Use the zeros and the vertex to sketch a
8
reasonable graph.
6
4
8
2
6
4
-8
-6
-4
-2
2
4
6
8
-2
2
-4
-8
-6
-4
-2
2
4
6
8
-6
-2
-8
-4
-6
e.
Use the vertex form of your equation to
algebraically determine the zeros.
-8
Estimate the value and verify the zeros
seem correct based on the graph.
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