The general approach of changing $y = a x ^ { 2 } + b x + c$ to $y = a ( x - h ) ^ { 2 } + k$ is by completing the square.

Name: The general approach of changing $y = a x ^ { 2 } + b x + c$ to $y = a ( x - h ) ^ { 2 } + k$ is by completing the square.
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Completing the square involves manipulating the quadratic expression to write it in the form of a perfect square, which is in the form of $a(x-h)^2 + k$. By doing so, we can easily determine the vertex and other important information about the parabola.

The General Approach of Changing y=ax2+bx+cy = a x ^ { 2 } + b x + cy=ax2+bx+c

The General Approach of Changing $y = a x ^ { 2 } + b x + c$