Question

Which standard form equation below correctly represents the quadratic function

y = -1/3(x-3)² + 2
1) y = -1/3x² - 2x -1
2) y = -1/3x² + 2x + 5
3) Now of the choices are correct
4) y = -1/3x² + 2x - 1

Answer 1

Answer: 4) y = -1/3x² + 2x - 1

Explanation:

Given :

y =
`(-1)/(3)`
`(x-3)^(2)` + 2

Expanding (x-3)² will give :

`x^(2)` - 6x + 9

substituting into the function , we have :

y =
`(-1)/(3)`
`( [tex]x^(2)` - 6x + 9 ) + 2

Expanding , we have

y =
`(-1)/(3)`
`x^(2)` + 2x - 3 + 2

y =
`(-1)/(3)`
`x^(2)` + 2x - 1