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What is the value of h in the quadratic function y = (x + 3) 6?​

Sagot :

Answer:

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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

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Vertex Form of a Quadratic Equation

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