Question

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

Answer 1

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.

Answer 2

(0, –2); maximum

Explanation:

`y = -x^2 - 2`

WE are given with the quadratic equation.

Vertex form of quadratic equation is in the form of
`y=a(x-h)^2+k`

where (h,k) is the vertex

`y = -(x-0)^2 - 2`

The value of a=-1

when the value of 'a' is negative, then the vertex is maximum

To find the vertex we look at the value of h and k

h=0 and k= -2

Vertex is (0,-2)

(0, –2); maximum