Question

How do you write the quadratic function f(x) = 3x2 - 6x + 9 in vertex form

Answer 1

3(x^2 - 2x + 3)
= 3 [(x-1)^2 -1 + 3]
= 3(x-1)^2 + 6

Answer 2

we just did this in school... the equation for vertex form is:
\[y=a(x-h)^{2}+k\]

Answer 3

thanks

Answer 4

your welcome (:
so if you were doing the equation you posted, you would change the problem to
y=3x2-6x+9
because f(x) is another way to say y.
do you get it now? or do you need help with the problem?

Answer 5

i think you'll find i've done it correctly

Answer 6

i understand, but i thought it nice to explain.

Answer 7

yup - thats ok