That appears to be correct. That IS the standard form for your equation given in your exercise. The parabola has been shifted upward by 4 units and to the left by 4 units from standard position.okay so completing the square gives me
y = x^2 +8x + 20 + 16 - 16
y = (x^2 + 8x +16) + 4
y = (x + 4)^2 + 4
which is exactly what I got before???