Posted by Heather on Tuesday, January 1, 2013 at 6:30pm.
answer the following for the given quadratic function.
f(x)=x^2+x^28
a. what is the vertex (h,k) of f?
(h,k)=? simplify your answer and type the answer in an ordered pair
b. what is the axis of symmetry?

math  Riana, Tuesday, January 1, 2013 at 6:37pm
a. (0,8) is the vertex

math  Riana, Tuesday, January 1, 2013 at 6:42pm
b. axis of symmetry is zero.

check  math  Reiny, Tuesday, January 1, 2013 at 7:24pm
I have a feeling there is a typo.
Why would anybody have two like terms in the equation ?
should it be
f(x) = x^2 + 2x  8 ????

math  Heather, Tuesday, January 1, 2013 at 7:38pm
Yes, Reiny you caught the typo
It should read f(x)=x^2+2x8, thank you for catching that. So, now my answers will change that Riana gave. Right?

math  Reiny, Tuesday, January 1, 2013 at 7:43pm
yes,
complete the square ....
f(x) = x^2 + 2x +1  1 8
= (x+1)^2  9
vertex is (1,9)
axis of symmetry: x = 1 or x+1 = 0

math  Riana, Tuesday, January 1, 2013 at 7:46pm
then your vertex is (2,8)
and axis will be 1

math  Riana, Tuesday, January 1, 2013 at 7:47pm
the vertex can't be (1,9) its incorrect.

math  Reiny, Tuesday, January 1, 2013 at 7:48pm
NO, check my reply

math  Reiny, Tuesday, January 1, 2013 at 7:52pm
Yes it is !
http://www.wolframalpha.com/input/?i=plot+x%5E2+%2B+2x++8
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