Question

I need serious help. MEDALS AWARDED AND FAN ADD.

I need help with figuring out the step-by-step process of writing f(x) = x^2 - 5x + 6 in general vertex form. Please help!

Answer 1

@campbell_st
@ranga
@Calliope

Answer 2

f(x)= x^2 - 5x + 6 = x^2 - 2 * 5/2 * x + (5/2)^2 - (5/2)^2 + 6
= (x-5/2)^2 - 25/4 + 6
= (x-5/2)^2 -1/4

Answer 3

@math&ing001 could you please explain what you did? I need help with step by step stuff. Thank you!

Answer 4

First, you complete the square on the x^2 + 5x part to give you x^2 + 2(5/2)x + 25/4. Then, since you added 25/4, you have to subtract 25/4 to keep the same equation. So, you have (x+5/2)^2 -25/4 + 6. This gives you (x-5/2)^2 - 1/4.

Do you understand?

Answer 5

Yes, thank you soooo much! @BTaylor
I'll message you if I need more help, if that is okay with you(:

Answer 6

Sure!

Answer 7

and thank you @math&ing001

Answer 8

You're welcome !