Answer:
see the explanation
Step-by-step explanation:
we have
[tex]f(x)=x^2[/tex]
This is the equation of a vertical parabola open upward
The vertex represent a minimum
The vertex is the point (0,0)
The general shape of a parabola is the shape of a "pointy" letter "u," or a slightly rounded letter, "v."
If the function is negative
then
[tex]f(x)=-x^2[/tex]
This is the equation of a vertical parabola open downward
The vertex represent a maximum
The vertex is the point (0,0)
see the attached figure to better understand the problem
