y=x^{2}6x+10 Rewrite the given quadratic function in the form y=a(x−h)x^{2}+k.
Answers
Answered by
0
Answer:
How do you write
y
=
x
2
+
6
x
+
10
Algebra Vertex Form of a Quadratic Equation
1 Answer
ali ergin
Aug 14, 2016
y
=
(
x
+
3
)
2
+
1
Explanation:
y
=
x
2
+
6
x
+
10
y
=
a
x
2
+
b
x
+
c
This is the standard form
The vertex form is expressed as
y
=
a
(
x
−
h
)
2
−
k
F
=
(
h
,
k
)
F
=
(
h
,
k
)
represents the focus coordinates
Solution -1:
y
=
x
2
+
6
x
+
9
+
1
y
=
(
x
+
3
)
2
+
1
h
=
−
3
k
=
1
Solution-2:
h
=
−
b
2
a
=
−
6
2
⋅
1
=
−
3
k
=
(
−
3
)
2
+
6
⋅
(
−
3
)
+
10
=
9
−
18
+
10
=
1
a
=
1
The vertex form:
y
=
1
⋅
(
x
+
3
)
2
+
1
y
=
(
x
+
3
)
2
+
1
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