Hi

 y= -x^2+2x-2   |Note use of ^ for squared term

 y-intercept (when x = 0)  Pt(0,-2)



y= -(x-1)^2 -1   |completing the square  Vertex Pt(1,-1)

 x-intercept (when y = 0)

-(x-1)^2 -1 =0

   (x-1)^2 = -1  NO real roots, Parabola does not cross the x-axis

   x = 1 ± sqrt(-1)  



 

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