The equation for a parabola in vertex form is given by:

$f(x) = a(x - h)^2 + k$

Where:

• $a$ controls the "stretch" or "compression" of the parabola and its direction (whether it opens upwards or downwards).
• $h$ represents the x-coordinate of the vertex of the parabola.
• $k$ represents the y-coordinate of the vertex of the parabola.

So, $a$, $h$, and $k$ would be specific values based on the given equation. You would need the actual equation of a specific parabola to determine those values.

Would you like me to help you find $a$, $h$, and $k$ for a particular equation or graph?

Here are some follow-up questions to consider:

1. Do you have a specific equation or graph in mind to find $a$, $h$, and $k$?
2. What is the role of the vertex in determining the shape of a parabola?
3. How does the value of $a$ affect whether the parabola opens upwards or downwards?
4. What happens to the graph when you change the values of $h$ and $k$?
5. Can you convert a parabola from standard form to vertex form?

Tip: To find $h$ and $k$, remember that they are the coordinates of the vertex of the parabola.