Question

Graph f(x)=|x−2|+3 .

Use the ray tool to graph the function.

Answer 1

Honestly. This question is terrible and even broken. I'm sure. But take a look. I'm not sure if you are to only put two points. But try doing (1,4), (2.3) and (3.4) and then click (2,3) again. I'm not sure.

Answer 2

Answer: The graph of the given function is shown below,

The given equation is,

`f(x)=|x-2|+3`

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

`f(0)=|0-2|+3=5`

put x=1

`f(1)=|1-2|+3=4`

put x=2

`f(2)=|2-2|+3=3`

put x=3

`f(3)=|3-2|+3=4`

put x=4

`f(4)=|4-2|+3=5`

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.