Graph f(x)=|x−2|+3 . use the ray tool to graph the function.

The graph of the given function is shown below,

The given equation is,

It is a modulus function so graph of the function can be transformed form the standard modulus function g(x)=|x|.

SInce there is subtraction of 2 in the modulus so the graph of g(x) will shift  right side by 2 units. Since there is addition of 3 outside the modulus, so the graph will shift upward by 3 units.

The other method is to find the coordinate points.

put x=0

put x=1

put x=2

put x=3

put x=4

So the coordinates are (0,5),(1,4),(2,3),(3,4) and (4,5).

Plot the point and joint them by a straight line. Since it is a modulus function so it is a v-shaped graph.