If k is a non-zero constant, determine the vertex of the function y = x2 - 2kx + 3 in terms of k.

Step-by-step explanation:

We are given the quadratic equation:

Where k is a non-zero constant.

And we want to determine the vertex of the parabola in terms of k.

The vertex of a parabola is given by the formulas:

In this case, a = 1, b = -2k, and c = 3.

Find the x-coorinate of the vertex:

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

Therefore, our vertex in terms of k is:

its an acute right triangle

step-by-step explanation: