Find the turning point of the function y=f(x)=x^2+4x+4 and state wether it is a minimum or maximum value.

In order to find turning points, we differentiate the function. Hence we get f'(x)=2x + 4. Setting f'(x)=0 we get x = -2 and inputting this into f(x) we get y = 0 therefore the turning point is (-2,0). To find out wether this is a min or max we find f''(x) which is 2. Since 2>0 we know that this is a minimum point.