# A) If y=x^2+kx+3, determine the value(s) of k for which the min value of the function is an integer?

##### 1 Answer

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.

Two possibilities:

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,