Converting To Vertex Form
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1
2Name: ________________________
8
Precalculus: Converting to Vertex Form
4/4/14
6
4
2
1.
Let
6
3
=
−
+
y
x
x
2
a.
State the y-intercept.
-8
-6
-4
-2
2
4
6
8
-2
b.
State the coordinates of another point in
-4
the function. Justify.
-6
-8
c.
Use the technique of completing the square
to express the quadratic in vertex form.
Show your work in a clear, organized
e.
Estimate the zeros from your graph.
manner.
f.
Use the vertex form of your equation to
determine the exact value of the zeros.
d.
Check your equation from part (c) by
verifying the point you named in part (b) is
2
2.
Let
8
3
=
+
+
y
x
x
in the function. Show work.
a.
Use the technique of completing the square
to express the quadratic in vertex form.
Show your work in a clear, organized
manner. You may check your answer by
e.
State the coordinates of the vertex.
graphing both forms and verifying they are
the same.
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. (Grid at top of next column.)
b.
State the coordinates of the vertex and the
y-intercept.
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