Y=x^2+9x+3 write graph form

(

x

−

9

2

)

2

−

69

4

Explanation:

the equation of a parabola in  

vertex form

is.

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

y

=

a

(

x

−

h

)

2

+

k

2

2

∣

∣

∣

−−−−−−−−−−−−−−−−−−−−−  

where  

(

h

,

k

)

are the coordinates of the vertex and a

is a multiplier

we can obtain this form using  

completing the square

y

=

x

2

+

2

(

−

9

2

)

x

+

81

4

−

81

4

+

3

y

=

(

x

−

9

2

)

2

−

69

4

Step-by-step explanation:

(

x

−

9

2

)

2

−

69

4

Explanation:

the equation of a parabola in  

vertex form

is.

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

y

=

a

(

x

−

h

)

2

+

k

2

2

∣

∣

∣

−−−−−−−−−−−−−−−−−−−−−  

where  

(

h

,

k

)

are the coordinates of the vertex and a

is a multiplier

we can obtain this form using  

completing the square

y

=

x

2

+

2

(

−

9

2

)

x

+

81

4

−

81

4

+

3

y

=

(

x

−

9

2

)

2

−

69

4