1. The problem is to express the variables $h$ and $k$ as the subject of an equation. 2. To do this, we need a specific equation involving $h$ and $k$. Since the user did not provide one, let's consider a general form: $$y = a(x - h)^2 + k$$ which is the vertex form of a quadratic equation. 3. Here, $h$ and $k$ represent the coordinates of the vertex of the parabola. 4. To make $h$ the subject, start by isolating the term containing $h$: $$y = a(x - h)^2 + k$$ Subtract $k$ from both sides: $$y - k = a(x - h)^2$$ Divide both sides by $a$: $$\frac{y - k}{a} = (x - h)^2$$ 5. Take the square root of both sides: $$\pm \sqrt{\frac{y - k}{a}} = x - h$$ 6. Finally, solve for $h$: $$h = x \mp \sqrt{\frac{y - k}{a}}$$ 7. To make $k$ the subject, start again from the original equation: $$y = a(x - h)^2 + k$$ Subtract $a(x - h)^2$ from both sides: $$y - a(x - h)^2 = k$$ 8. Thus, $k$ is: $$k = y - a(x - h)^2$$ This shows how to rearrange the vertex form of a quadratic equation to make $h$ or $k$ the subject. Final answers: $$h = x \mp \sqrt{\frac{y - k}{a}}$$ $$k = y - a(x - h)^2$$