Question

Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Rewrite y = x2 + 14x + 29 in general form.
Rewrite y = 3x2 - 24x + 10 in general form.

Answer 1

Is the general form y = a(x-b)2 + c ?

Answer 2

I think it's y=a(x-h)^2+k but im not sure

Answer 3

im just not sure what the variable equal?? @slaaibak

Answer 4

Cool, i'll walk you through it

Answer 5

I just need to know what to plug in. like what does k and h equal??

Answer 6

@slaaibak????????

Answer 7

Let's start with the first one:

y = x2 + 14x + 29

The key to doing this, is by completing the square for x:

y = x2 + 14x + 29

Now add 49 and substract 49, because 49 = (14/2)^2

y = x2 + 14x + 49 - 49 + 29


but, x2 + 14x + 49 = (x+7)^2

so y = (x+7)^2 - 30

so h=-7, k = 30

Answer 8

sorry, k = -30

Answer 9

thank you!!!

Answer 10

Sorry, I made a mistake haha.

y = (x+7)^2 - 20

so h = -7 and k = -20

Answer 11

so is the whole equations supposed to have exact numbers? where do i plug in x^2 14 x and 29?

Answer 12

read what I did. It explains everything. You just transform the equation.

Answer 13

im so confused i meant i needed the form with the correct numbers but are you solving for the actual value?

Answer 14

I'm not solving anything.... I have the correct form.

y = (x+7)^2 - 20

Answer 15

You said h=-7?

Answer 16

^^

Answer 17

yes, but I'm just showing how the general form relates to what I got. Nevermind. Just look at the answer:
y = (x+7)^2 - 20

Answer 18

could you show me how do the second one? i am still so confused. Sorry, thank you.

Answer 19

y = 3x2 - 24x + 10

First factor out the 3:


y = 3(x2 - 8x + 10/3)

add and subtract: (8/2)^2 = 16

y= 3(x2 - 8x + 16 - 16 + 10/3)

Try to go further from here

Answer 20

nvmd thanks anyway