Answer:
[tex](0,0)[/tex] is the y-interecption.
Step-by-step explanation:
The given function is
[tex]A(x)=x^{2} -2x[/tex]
The y-intercept is found when [tex]x=0[/tex], so
[tex]A(0)=0^{2}-2(0)=0[/tex]
Therefore, the y-intercept is at the origin [tex](0,0)[/tex]
In the image attached you can observe the y-interception.
Additionally, the x-interceptions are at [tex](0,0)[/tex] and [tex](2,0)[/tex]. And the vertex of the function is at [tex](1,-1)[/tex].