A) If y=x^2+kx+3, determine the value(s) of k for which the min value of the function is an integer?
Method: Find an expression, in terms of
Because this question is asked in "Algebra", I will not use calculus, (Which is not needed to answer.)
I will assume that you know that the minimum value of a quadratic function occurs at the vertex of the parabola.
First: If you know that the vertex of the parabola:
Putting this value in for
Second possibility: If you know how to complete the square to write the expression in standard form, do so
The vertex is at
However you found it, the minimum value,