SOLUTION: Let f(x) = (x+7)^2 + 3. At which value of x does f(x) have a minimum?
(a) -7
(b) -3
(c) 0
(d) 7
(e) none of these.
I put E. Is that right? Thank you for the help in advan
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Question 756022: Let f(x) = (x+7)^2 + 3. At which value of x does f(x) have a minimum?
(a) -7
(b) -3
(c) 0
(d) 7
(e) none of these.
I put E. Is that right? Thank you for the help in advanced! :)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
\ =\ a(x\ -\ h)^2\ +\ k)
is a parabola with a vertex at )
. It opens upward (and therefore the vertex is a minimum) if 
and it opens downward (and therefore the vertex is a maximum) if 
.
To see this better in your case, rewrite your equation in the equivalent form:
\ =\ 1\,\cdot\,\left(x\ -\ (-7)\right)^2\ +\ 3)
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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