Question

Can someone help please?

Answer 1

This is a tricky problem, don't feel bad for not knowing this :/ I think this is too much in one question even :P I'll give you the answers and how to get them but really it's going to be a lot to understand in one try. Pay attention :P

Explanation:

first graph the given table .. I use Desmos b/c it's handy

we want y = A
`x^(2)` + bx + c

given 1st 2nd

5 -5 2

0 -3 2

-3 -1 2

-4 1 2

-3 3 2

0 5 2

5 7

12

A=2nd / 2 = 2/2 = 1

B=?

C= 5

x=1

y=12

y = a
`x^(2)` + bx +c

12=
`1^(2)` + b(1) +5

12=1+ b +5

6=b :)

y =
`x^(2)` + 6x +5 ( the answer to a) in the question )

factor it

(x+5)(x+1) ( answer to b) in the question

vertex form

y = a(x-h)2 + k

where h = −b/2a

and k = f( h )

h=6/2(1) = 3

k =
`3^(2)` + 6(3) +5

k=32

y =x-3 + 32 ( answer to c) in question )

let me know if this worked for you :) ( I did this fast late at night :/ )