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

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

Mathematics
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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!
youre correct the answer is (3,2)
But Why?

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becasue the definition of vertex is where the bend cuts the axis at
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
the vertex is halfway between the foci and the directix; so its the shortest distance between them and lies on the axis of symmetry
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?
Sorry if my question is sort of confusing. I'm asking more for the concept behind it.
the concept is a geometric one
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.
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.
you just click the blue "good answer" by our names :) and no problem
hit f5 to refresh your browser and you should see a 'good answer' button next to our names
here is an idea.
the smallest \[x^2\] can be is 0
it is 0 if x = 0
the smallest \[(x-3)^2\] can be is zero and it is zero if x = 3
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)
28 to go lardamercy!
thank you Satellite
welcome
hello myininaya
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
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
lol later

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