Question

Y = x² - 4x convert from standard to vertex form​

Answer 1

`y = (x-2)^(2) -4`

Explanation:

To complete the square: add 4 to both sides because the product of 4 as 2 as the factor which 2 * 2 so
`2^(2)`

`y + ? = x^(2) - 4x + ?`

`y + 2^(2) = x^(2) - 4x + 2^(2)`

`y + 4 = x^(2) - 4x + 4`

Now we can factor the expression

`y + 4 = (x-2)^(2)`

Move the 4 to the other side to isolate y which changes the sign

`y = (x-2)^(2) - 4`