How do I solve this y=x-x^2?
I need to know the turning points. Idk if it is the right word but i hope you understand me!
How do I solve this y=x-x^2?
I need to know the turning points. Idk if it is the right word but i hope you understand me!
This is a parabola, I know that because of the x^2 term
This is a concave down. I know that because of the - sign in front of the x^2 term.
\(y=x-x^2\\ y=-x^2+x\\ y=-x(x-1)\\\)
The roots are x=0 and x=1
the axis of symmetry is x= 0.5
when x=0.5
y= -0.5 * (0.5-1)
y= -0.5 * -0.5
y= 0.25
So the tuning point is a maximum and it is at (0.5, 0.25)
How do I solve this y=x-x^2?
I need to know the turning points. Idk if it is the right word but i hope you understand me!
This is a parabola, I know that because of the x^2 term
This is a concave down. I know that because of the - sign in front of the x^2 term.
\(y=x-x^2\\ y=-x^2+x\\ y=-x(x-1)\\\)
The roots are x=0 and x=1
the axis of symmetry is x= 0.5
when x=0.5
y= -0.5 * (0.5-1)
y= -0.5 * -0.5
y= 0.25
So the tuning point is a maximum and it is at (0.5, 0.25)