Why is the vertex or parabola y=(x-3)^2+2
(3, 2)?

Question

Why is the vertex or parabola y=(x-3)^2+2 
(3, 2)?

owlfred · Answer

Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

smurfy14 · Answer

youre correct the answer is (3,2)

anonymous · Answer

But Why?

amistre64 · Answer

becasue the definition of vertex is where the bend cuts the axis at

smurfy14 · Answer

oh sorry i thought it said what. because whenever you have a parabola equation you take the number in () which is -3 and change the sign and leave the number outside of () which is 2 the same so it would be 3,2

amistre64 · Answer

the vertex is halfway between the foci and the directix; so its the shortest distance between them and lies on the axis of symmetry

anonymous · Answer

I understand that when x=3 the y would be 2 but how would you get the 3 other than just trying to make the 3 to 0?

anonymous · Answer

Sorry if my question is sort of confusing. I'm asking more for the concept behind it.

amistre64 · Answer

the concept is a geometric one

smurfy14 · Answer

that is just how the formula works. whatever # is after x is just the oppisite there isnt really a reson behind it you just kind of have to do it.

anonymous · Answer

okay thank your for your help; both of you. Is there any way for me to give you a rating of some sort? I'm sorry, this is my first time here.

smurfy14 · Answer

you just click the blue "good answer" by our names :) and no problem

amistre64 · Answer

hit f5 to refresh your browser and you should see a 'good answer' button next to our names

anonymous · Answer

here is an idea.

anonymous · Answer

the smallest $$x^2$$ can be is 0

anonymous · Answer

it is 0 if x = 0

anonymous · Answer

the smallest $$(x-3)^2$$ can be is zero and it is zero if x = 3

anonymous · Answer

so the smallest 
$$(x-3)^2+2$$ can be is 2, and it is 2 if x = 3
that is why the vertex is (2,3)

anonymous · Answer

28 to go lardamercy!

anonymous · Answer

thank you Satellite

anonymous · Answer

welcome

anonymous · Answer

hello myininaya

myininaya · Answer

hey :) i'm thinking about showing him something once i figure out if i can do this something that i'm about to do
i know that made no sense 
lol

anonymous · Answer

right!  this vertex stuff is not as hard as it is made out to be.  i can show it to people who know basically no math at all.  now i am going to take my measly less than half of amistre's medals (jealous, me?) and go to bed.  some people have to work

myininaya · Answer

lol later