for each of the following find: A) the vertex, B)the y intercept, C) the x intercept of f(x)=(x-1)^2-2

This parabola is in standard form - which is nice: 
 
 
 


so our vertex is (1,-2) 

to get the y-intercept set x=0, then 


 

to get the x-intercept set f(x)=0, then 

 
 


 

so that 
x-1=2 or x-1=-2
x=0 or x=-1 

x-intercepts: {0, -1} 

:)