Write y=2x^2-12x+16 in vertex form

Step-by-step explanation:

The vertex is  

(

3

,

−

2

)

Explanation:

Given an equation of a parabola of the form:

y

=

a

x

2

+

b

x

+

c

The x-coordinate,  

h

, of the vertex, is:

h

=

−

b

2

a

The y-coordinate,  

k

, of the vertex, is:

k

=

a

h

2

−

b

h

+

c

From the given equation,  

y

=

2

x

2

−

12

x

+

16

, we observe that,  

a

=

2

,

b

=

−

12

and

c

=

16

Using the above formulas:

h

=

−

−

12

2

(

2

)

h

=

3

k

=

2

(

3

)

2

−

12

(

3

)

+

16

k

=

−

2

The vertex is  

(

3

,

−

2

)

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step-by-step explanation: