SOLUTION: For what value of c will the minimum value of the function f(x)= x^2+2x+c be sqrt(2)?
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Question 1064461: For what value of c will the minimum value of the function f(x)= x^2+2x+c be sqrt(2)?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Lead coefficient is 1, a positive value, so the vertex will be the minimum value for f(x).
Vertex point would be (-1,c-1).
If you want for the minimum function value, then
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The formula for vertex ( minimum in this case )
is
when the general form is:
-----------------
given:
-----------------------
Here's the plot:
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