Determine whether the graph of y vertical barx 2 vertical

Determine whether the graph of y = vertical bar.x - 2 vertical bar is symmetric with respect to the origin, the x-axis, or the v-axis. symmetric with respect to the x-axis only symmetric with respect to the y-axis only symmetric with respect to the origin only not symmetric with respect to the x-axis, not symmetric with respect to the y-axis, and not symmetric with respect to the origin

Solution

y=|x-2|

let us check symmetric about x axis

plug y=-y in the original equation

-y = |x-2| it is not not equal to the original one,so not symmetric about x axis

now checking symmetry about y axis

plug x=-x

y=|-x-2|

y=|x+2| so not symmetric about y axis also

now checking for origin

plug x=-x and y=-y

-y = |-x-2|

-y= |x+2|

so

D) is answer