Question

A quadratic function is given as f (x) = 3x^2 + 24x + 25. Write the vertex form of the given function.

Answer 1

@563blackghost

Answer 2

@jagr2713

Answer 3

@Kainui

Answer 4

@ParthKohli

Answer 5

Do you know how to complete the square?

Answer 6

Yes

Answer 7

x=-b/2a

Answer 8

Oh yeah, that sounds good to me. You want something in the form\[f(x) = \left(x - (-b/2a)\right)^2 + \text{some constant here}\]

Answer 9

So,
3(x+4)^2....how do I find the rest?

Answer 10

@MarrBear

Answer 11

So, Vertex would be (-b/2a, k) You would find K after you find -b/2a.
So for example, you would do -24/2(3) to find your first number, then plug that into x to find your second one.

Answer 12

I got 169 :(

Answer 13

Okay, lemme see if i can break it down a little more.

Answer 14

Find your first point in the (h,k) Use -b/2a to find H.

Answer 15

-36

Answer 16

Nope, try again.
It would be -24/3(2)

Answer 17

3 is your A. 24 is your B. 25 is your C.

Answer 18

h=4

Answer 19

@MarrBear

Answer 20

Okay good. So you have (4, k). Input 4 in X to find your H.

Answer 21

-23

Answer 22

Tell me how you got that.

Answer 23

3(-4)^2+24(-4)+25=-23
3(4)^2+24(4)+25=23

Answer 24

oops 169

Answer 25

Good! So you have your points (-4,-23)

Answer 26

Thank you for your help!

Answer 27

No problem!