Choose the equation below whose axis of symmetry is x = 0.

Option C.

Step-by-step explanation:

In this question we will convert the equation into vertex form then find the axis of symmetry

(A) y = x² + 2x

     y = x² + 2x + 1 - 1

      = (x+1)² - 1

Vertex will be ( -1,-1 ) and axis of symmetry is x = -1

(B) y = x² - 16x + 58

    y = x² - 16x + 64 - 6

    y = ( x-8 )² - 6

 Vertex is (8, -6)and axis of symmetry x = 8

(C) y = x² + 2

     y = ( x - 0)² + 2

Vertex will be (0, 2) and axis of symmetry x = 0

(D) y = x² - 4x + 2

       = x² - 4x + 2 + 2 - 2

    y = ( x-2 )² -2 vertex is (2, -2) and axis of symmetry x = 2

Option C is the answer.

there are infinitely many solutions.