can anyone help me in this

how can i rewrite f(x)=x^2-2x+3 in the form of f(x)=a(x-h)^2+k

i need how to do it please include the solution :'( thnx

Question

can anyone help me in this

how can i rewrite f(x)=x^2-2x+3 in the form of f(x)=a(x-h)^2+k

i need how to do it please include the solution :'( thnx

amistre64 · Answer

complete the square

amistre64 · Answer

we dont 'include the solution' as it doent involve the askers participation.

anonymous · Answer

i dont know how i will do it -_-"

amistre64 · Answer

completing the square ... im not sure if your lessons have covered it or not, but ultimately that is the process to take

anonymous · Answer

how i will complete the square in that?

amistre64 · Answer

x^2 - 2x + ____

finding a value that will make this a perfect square

another idea, do you know how to find the vertex?

amistre64 · Answer

the point (h,k) defines the vertex

and the h value can be determined rather easily

anonymous · Answer

$$f(x)=x ^{2}-2x+3$$ this is the given the problem was i dont know how i can rewrite it

amistre64 · Answer

lets expand and try comparison, since my other ideas dont seem to be ringing any bells ...

a(x-h)^2 + k

a(x^2 -2hx +h^2) + k

ax^2 -2ahx +ah^2 + k

given that we need to compare this to:

x^2 -2x +3



ax^2 = x^2;  what is a?

-2ahx = -2x,  what is h?

ah^2 + k = 3,  what is k?