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

Answer:

(0, –2); maximum

Step-by-step 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