need someone to check my work again (quadratic functions)

[abel muroi]

I was given the problem

f(x) = x² - 8x + 8

and was asked to put the equation in standard form so that i can find the vertex.

here is my work..

f(x) = x² - 8x + 8
f(x) = (x² - 8x + 16) + 8 - 16 ((i divided -8 by 2 and then squared the result, which got me 16, then i added and subtracted 16 from both sides))
f(x) = (x - 4)² - 8 (( i factored x² - 8x + 16 and got (x-4)²))

so the vertex is (4, -8)

did i make a mistake?

 

[Deleted member 4993]

I was given the problem

f(x) = x² - 8x + 8

and was asked to put the equation in standard form so that i can find the vertex.

here is my work..

f(x) = x² - 8x + 8
f(x) = (x² - 8x + 16) + 8 - 16 ((i divided -8 by 2 and then squared the result, which got me 16, then i added and subtracted 16 from both sides))
f(x) = (x - 4)² - 8 (( i factored x² - 8x + 16 and got (x-4)²))

so the vertex is (4, -8)

did i make a mistake?

Looks good to me!!

 

[Ishuda]

...
did i make a mistake?

Nope. Looks good to me also.