Algebra 2 Chapter 5 Algebraic Manipulation Worksheet Page 2
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1
2Find a quadratic equation with the given roots:
2
=
+
+
35.
y
2
x
8
x
3
1
2
−
24.
and
Graph:
3
3
2
> −
+
−
36.
y
x
4
x
3
±
2
3
25.
2
>
−
+
37.
y
x
4
x
3
±
3 2i
26.
Solve:
Find the equation of the axis of symmetry:
2
+
−
>
38.
x
2
x
24 0
2
2
25
=
+
+
27.
y
3
x
3
3
2
+
−
<
39.
x
5
x
36 0
2
=
−
−
28.
y
2
x
4
1
Find the coordinates of the vertex:
2
=
+
−
29.
y
x
2
10
2
=
−
−
30.
y
2
x
2
12
Find the equation for the parabola with the given vertex that
passes through the given point:
31.
vertex: –7, 3
point: –9, 23
32.
vertex: 2 6
,
point: 0, –10
2
=
−
+
Write the equation in the form y
a x h
k
and graph:
2
=
−
−
33.
y
3
x
6
x
2
2
=
−
+
34.
y
3
x
12
x
7
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