Question

What is the vertex form of `y= 35x^2 - 22x + 3`?

Answer 1

the vertex form
`(x-11/35)^2=1/35(y--16/35)`

Explanation:

From the given, perform completing the square
`y=35x^2-22x+3`

`y=35(x^2-22/35x)+3`

Determine the constant to added and subtracted by using the numerical coefficient of x which 22/35. We divide 22/35 by 2 then square it`=(22/35div 2)^2=121/1225`

`y=35(x^2-22/35x+121/1225-121/1225)+3`

`y=35(x^2-22/35x+121/1225)-35*121/1225+3`

`y=35(x-11/35)^2-121/35+3`

`y=35(x-11/35)^2+(-121+105)/35`

`y=35(x-11/35)^2-16/35`

`y+16/35=35(x-11/35)^2`

`(x-11/35)^2=1/35(y--16/35)`

God bless....I hope the explanation is useful.