To find the vertex of a quadratic function in the form of ( f(x) = ax^2 + bx + c ), you can use the formula (\frac{b}{2a}) to find the xcoordinate of the vertex. Once you have the xcoordinate, you can substitute it back into the original function to find the ycoordinate of the vertex.
Here's a stepbystep guide to finding the vertex of a quadratic function:

Write the quadratic function in the form ( f(x) = ax^2 + bx + c ).

Find the xcoordinate of the vertex using the formula (\frac{b}{2a}).

Substitute the xcoordinate back into the original function to find the ycoordinate of the vertex.

The vertex of the quadratic function is the point ((h, k)) where (h) is the xcoordinate and (k) is the ycoordinate.
By following these steps, you can easily find the vertex of a quadratic function.