Question

Explain how to convert f(x) into the general, vertex form of the equation. Use complete sentences.
f(x) = x^2 + 6x - 16

Answer 1

u got thre methods of doing that
quadretic equation
factorization
completing square

Answer 2

it says general, vertex form @leonardo0430

Answer 3

hey these r the methods of solving these types of equations so there should be a y presesnt in that eq

Answer 4

there isn't thats the equation it gave me on my assignment. I just am having a hard time understanding it.

Answer 5

f(x)=x^2+6x-16 can be converted to vertex form by grouping it to make a perfect square trinomial to get f(x)=(x^2+6x+3^2)-16-3^2 by adding 3^2 and also subtracting 3^2 to get f(x)=(x+3)^2-25 ?
just made that easier for ya ;)

Answer 6

ok that confused me even more lol. Where do I go from there?

Answer 7

I just have to explain it in words, i dont have to type out the equation

Answer 8

just put that as your answer. its correct trust me

Answer 9

lol ookay thank youu. There is one last part to that question can you help me with it, its Find the solutions of g(x). Show each step. g(x) = x^2 +6x + 1

Answer 10

@dahlindubs11

Answer 11

to convert to vertex form you first divide the coefficient of x by 2
So its +6 / 2 = +3
Now you form a square binomial with x + 3:-
x^2 + 6x - 16 = (x + 3)^2 - 9 - 16
You subtract the 9 because when you expand (x+3)^2 you get x^2 + 6x + 9 and you have to get back to x^2 + 6 to maintain the equality.

Answer 12

Finally simplifying we get
(x + 3)^2 - 25 which is the vertex form

Answer 13

the solutions are 2 and−8 which are rational. I believe that's correct

Answer 14

I have to show the steps. @dahlindubs11

Answer 15

give me a sex to type here.

Answer 16

do you mean solve x^2 + 6x + 1 = 0 ?

Answer 17

x 2 +6x+1=0x 2 +6x=−1(x+3) 2 =−1+8(x+3) 2 =8x+3=±8 √ x=−3±8 √
or if you prefer
x=−3±22 √

Answer 18

yess @cwrw238

Answer 19

ignore that last one let me redo. it came out confusing.

x 2 +6x+1=0
x 2 +6x=−1
(x+3) 2 =−1+8
(x+3) 2 =8
x+3=±sq.root8
x=−3±sq/root8

Answer 20

That is alott better thank you so much for your help!!

Answer 21

Does his answer look right? @cw

Answer 22

@cwrw238

Answer 23

this is my first time doing anything on openstudy. what are medals and how do they work?

Answer 24

yes that answer is correct

Answer 25

I dont know what the do exactly lol but i do know that they are good to get.