Question

How do you write the equation f(x)=x62+6x+3 in the form f(x)=a(x-h)^2 + k?

Answer 1

do you mean 6x^2+6x+3?

or x^62+6x+3 ?

Answer 2

\( f(x)=x^2+6x+3 \)

Answer 3

f(x)= x^2+6x+3

Answer 4

do you know how to complete the square ?

Answer 5

one half b squared?

Answer 6

yes!
here, b=.... ?

Answer 7

b=6

Answer 8

and (b/2)^2 =... ?

Answer 9

9

Answer 10

so, add and subtract 9 in the function,
f(x)= x^2+6x+3

Answer 11

f(x)= x^2+6x+9+(-9+3)
got this ?

Answer 12

isn't it in the other side of the equation?

Answer 13

'it' what ?

Answer 14

the 9-3

Answer 15

lets keep f(x) on left and other things on right only...

Answer 16

ok

Answer 17

so, notice that x^2+6x+9 is a perfect square... of ?

Answer 18

\(f(x)=x^2+6x+9 +(-6) \\ =(....)^2 + (-6)\)
can u fill the blank ?

Answer 19

yes

Answer 20

(x+3)

Answer 21

yes, so you got that form you required....
\(f(x)=(x+3)^2-6 \\ = 1.(x- (-3))^2+ (-6)\)

Answer 22

Jun has 1200 feet of fencing materials to build a pen for his sheep and goats. The pen will be a rectangle with a divider down the middle. What should be the maximum are for the pen?

Answer 23

heeeeeeeeellllllllllllppppppppppppp

Answer 24

is that calculus related ?
do you know how to differentiate ?

Answer 25

i'm not that really good in math..........

Answer 26

and i would like to request you to make a new post for new question from next time..

Answer 27

i meant what is the topic for that question ?

Answer 28

to know its maximum area

Answer 29

that can be found using several methods...are u ever taught derivatives ?

Answer 30

yeah we have discussed that

Answer 31

but i'm so confused using derivatives in its application

Answer 32

good, do you know derivative of x^2 and x ?

Answer 33

yeah i know simple derivatives

Answer 34

ok, let go to your new post..