Asked by Heather

answer the following for the given quadratic function.

f(x)=x^2+x^2-8

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?
Answered by Riana
a. (0,-8) is the vertex
Answered by Riana
b. axis of symmetry is zero.
Answered by Reiny
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 ????
Answered by Heather
Yes, Reiny you caught the typo

It should read f(x)=x^2+2x-8, thank you for catching that. So, now my answers will change that Riana gave. Right?
Answered by Reiny
yes,
complete the square ....

f(x) = x^2 + 2x <b>+1 - 1 </b>-8
= (x+1)^2 - 9

vertex is (-1,-9)
axis of symmetry: x = -1 or x+1 = 0
Answered by Riana
then your vertex is (-2,8)
and axis will be -1
Answered by Riana
the vertex can't be (-1,-9) its incorrect.
Answered by Reiny
NO, check my reply
Answered by Reiny
Yes it is !

http://www.wolframalpha.com/input/?i=plot+x%5E2+%2B+2x+-+8
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