Makakuha ng pinakamahusay na mga solusyon sa iyong mga katanungan sa Imhr.ca, ang mapagkakatiwalaang Q&A platform. Tuklasin ang aming Q&A platform upang makahanap ng malalim na sagot mula sa isang malawak na hanay ng mga eksperto sa iba't ibang larangan. Nagbibigay ang aming platform ng seamless na karanasan para sa paghahanap ng mapagkakatiwalaang sagot mula sa isang malawak na network ng mga propesyonal.
Sagot :
Answer:
Course menu
Socratic Q&A logo
Search icon
How do you write the quadratic function
y
=
−
2
x
2
+
6
x
−
3
in vertex form?
Algebra Vertex Form of a Quadratic Equation
2 Answers
Douglas K.
Oct 22, 2017
The vertex form of a quadratic of the form
y
=
a
x
2
+
b
x
+
c
is:
y
=
a
(
x
−
h
)
2
+
k
[1]
where
h
=
−
b
2
a
and
k
=
a
h
2
+
b
h
+
c
Explanation:
Given:
y
=
−
2
x
2
+
6
x
−
3
Please observe that
a
=
−
2
,
b
=
6
and
c
=
−
3
Substitute the value of
a
=
−
2
into equation [1]:
y
=
−
2
(
x
−
h
)
2
+
k
[2]
Compute the value of h:
h
=
−
6
2
(
−
2
)
h
=
3
2
Substitute the value of
h
=
3
2
into equation [2]:
y
=
−
2
(
x
−
3
2
)
2
+
k
[3]
Compute the value of k:
k
=
−
2
(
3
2
)
2
+
6
(
3
2
)
−
3
k
=
3
2
Substitute the value of
k
=
3
2
into equation [3]:
y
=
−
2
(
x
−
3
2
)
2
+
3
2
←
this is the vertex form
Answer link
sankarankalyanam
Oct 22, 2017
y
=
(
−
2
)
(
(
x
−
(
3
2
)
2
)
+
(
3
2
)
Explanation:
Vertex form of quadratic equation
a
x
2
+
b
x
+
c
is
y
=
a
(
x
−
x
s
)
2
+
y
s
x
s
=
−
b
2
a
y
s
=
−
(
b
2
4
a
)
+
c
Given equation is
y
=
−
2
x
2
+
6
x
−
3
a
=
−
2
,
b
=
6
,
c
=
−
3
x
s
=
−
6
2
⋅
(
−
2
)
=
3
2
y
s
=
−
b
2
4
a
+
c
=
−
−
6
2
4
⋅
−
2
+
(
−
3
)
=
−
(
−
9
2
)
−
3
=
3
2
y
=
−
2
⋅
(
x
−
(
3
2
)
)
2
+
(
3
2
)
Answer link
Related topic
Vertex Form of a Quadratic Equation
Questions
Related questions
What is the Vertex Form of a Quadratic Equation?
How do you find the vertex form of a quadratic equation?
How do you graph quadratic equations written in vertex form?
How do you write
y
+
1
=
−
2
x
2
−
x
in the vertex form?
How do you write the quadratic equation given
a
=
−
2
and the vertex
(
−
5
,
0
)
?
What is the quadratic equation containing (5, 2) and vertex (1, –2)?
How do you find the vertex, x-intercept, y-intercept, and graph the equation
y
=
−
4
x
2
+
20
x
−
24
?
How do you write
y
=
9
x
2
+
3
x
−
10
in vertex form?
What is the vertex of
y
=
−
1
2
(
x
−
4
)
2
−
7
?
What is the vertex form of
y
=
x
2
−
6
x
+
6
?
iOS
Android
Privacy
Terms
Help
Salamat sa iyong pagbisita. Kami ay nakatuon sa pagtulong sa iyong makahanap ng impormasyon na kailangan mo, anumang oras na kailangan mo ito. Salamat sa pagbisita. Ang aming layunin ay magbigay ng pinaka-tumpak na mga sagot para sa lahat ng iyong pangangailangan sa impormasyon. Bumalik kaagad. Imhr.ca ay nandito para sa iyong mga katanungan. Huwag kalimutang bumalik para sa mga bagong sagot.