How do you factor 4b^2+12b+9?

4b^(2)+12b+9

Step-by-step explanation:

Rewrite  

4

b

2

as  

(

2

b

)

2

.

(

2

b

)

2

+

12

b

+

9

Rewrite  

9

as  

3

2

.

(

2

b

)

2

+

12

b

+

3

2

Check the middle term by multiplying  

2

a

b

and compare this result with the middle term in the original expression.

2

a

b

=

2

⋅

(

2

b

)

⋅

3

Simplify.

2

a

b

=

12

b

Factor using the perfect square trinomial rule  

a

2

+

2

a

b

+

b

2

=

(

a

+

b

)

2

, where  

a

=

2

b

and  

b

=

3

.

(

2

b

+

3

)

2

left 3, up 4

step-by-step explanation:

just count the values of x & y of the vertex of the graph and see how many units in the x and y direction will get you from the f(x) graph to the f(x) graph

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right