Graph y = −x2 − 2. Identify the vertex of the graph. Tell whether it is a minimum or maximum.(0, –2); minimum(–2, 0); minimum(–2, 0); maximum(0, –2); maximum

y  = - x^2 - 2

the vertex of - x^2 will be at (0,0)
the -2 translates the graph down 2 units

The answer is the vertex is at (0,-2)  and  as the coefficient of x^2 is negative it is a maximum

Answer is  D.