Graph each equation by translating y=|x| or y= -|x|?

Question

45.) y = -|x - 1|

47.) y = -|x| +1

49.) y = |x| - 4

Answer 1

y = |x| will look like a V with the point touching the origin (0,0)

y = - |x|  will look like an upside down V with the point again touching the origin (0,0)

45.) this is a tranlation of y=-|x| ; 1 unit left across the x axis

46.) this is a translation of y=-|x| ; 1 unit up the y axis

49.) this is a tranlation of y=|x| ; 1 unit down the y axis