Question

If the graph of y = |x| is translated so that the point (1, 1) is moved to (4, 1), what is the equation of the new graph?

Answer 1

`y=\left | x \right |+3`

Explanation:

Here we are given with the parent function as

`y=\left | x \right |`

as we are given that the point (1,1) is translated to (1,4)

Hence x remains the same but new y coordinate is 4

Hence

Y = 4

Y = 1+3

Y= y + 3

`Y = \left | x \right |+3`

Hence the equation of new function is

`Y = \left | x \right |+3`

Please refer to the graph attached with this.