Explanation:
Standard form of a quadratic is f(x) = ax² + bx + c.
To convert to vertex form, the simplest method is to find the x-coordinate of the vertex using h = -b/(2a).
Then, plug back into the equation to find the y-coordinate of the vertex. k = f(h).
Finally, the leading coefficient is the same as the standard form, a.
f(x) = a(x − h)² + k
Another method is to complete the square.