Question

F(x)=-x^2 -4x -2, for this equation find the solutions, the coordinates of the vertex, and the axis of the symmetry.

Answer 1

Explanation:

hello :

Completing The Square x²-4x-2= (x²-4x+4)-4-2 = (x-2)²-6

the vertex is : (2 , -6)

now calculate the solutions : (x-2)²-6 =0

(x-2)²= 6 means : x-2 =√6 or x-2 = -√6

x = 2+√6 or x = 2-√6