By completing the square, find the coordinates of the turning point of the curve with equation y = x^2 + 10x + 2

The equation is in the form ax^2 + bx + c, where a = 1, b = 10 and c = 2To complete the square, we write (x + b/2a)^2 + c - (b/2a)^2So here we would have (x + 5)^2 + 2 - 25Therefore completed square form is (x + 5)^2 - 23The turning point of this curve is therefore (-5, -23)