Answer:

Step-by-step explanation:
We are given the quadratic equation:

Where <em>k</em> is a non-zero constant.
And we want to determine the vertex of the parabola in terms of <em>k. </em>
The vertex of a parabola is given by the formulas:

In this case, <em>a</em> = 1, <em>b</em> = -2<em>k</em>, and <em>c</em> = 3.
Find the <em>x-</em>coorinate of the vertex:

To find the <em>y-</em>coordinate, we substitute the value we acquired back into the equation. So:

Therefore, our vertex in terms of <em>k</em> is:
