Which of the following best describes the graph of y=-x^2

Step-by-step explanation:

to draw the graph of y = - x²............(1)

the above given equation is the equation of parabola.

now, comparing this equation (1) will general equation of parabola which is

                  x² = 4  a y

                   a = -1/4  

this means the parabola vertex is at origin (0,0)

parabola will be open downward.

the graph shown is the required graph.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!