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Algebra 2
Write a quadratic function from its vertex and another point
g
(
r
)
=
p
2
−
6
p
−
55
g(r) =p^2-6p -55
g
(
r
)
=
p
2
−
6
p
−
55
\newline
1
1
1
) What are the zeros of the function?
\newline
2
2
2
) What is the vertex of the parabola?
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Question
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A quadratic function
y
=
f
(
x
)
y=f(x)
y
=
f
(
x
)
is plotted on a graph and the vertex of the resulting parabola is
(
−
6
,
3
)
(-6,3)
(
−
6
,
3
)
. What is the vertex of the function defined as
g
(
x
)
=
f
(
x
)
+
3
g(x)=f(x)+3
g
(
x
)
=
f
(
x
)
+
3
?
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Find the distance between the points
(
12.6
,
18.1
)
(12.6,18.1)
(
12.6
,
18.1
)
and
(
12.6
,
−
11.2
)
(12.6,-11.2)
(
12.6
,
−
11.2
)
. units
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A parabola opening up or down has vertex
(
0
,
0
)
(0,0)
(
0
,
0
)
and passes through
(
−
6
,
−
3
)
(-6, -3)
(
−
6
,
−
3
)
. Write its equation in vertex form. Simplify any fractions.
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A parabola opening up or down has vertex
(
0
,
−
3
)
(0, -3)
(
0
,
−
3
)
and passes through
(
4
,
−
5
)
(4, -5)
(
4
,
−
5
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
\newline
______
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