Question

What is the graph of y = x - 3 (shown below) translated up 2 units?

Answer 1

It would be the same linear graph but y=x-1 so 1,0 2,1 3,2 4,3 5,4

Answer 2

Graph of y = x - 1.

Explanation:

We are given the function y = x -3.

It is required to translate this function 2 units upwards.

Now, as we know that 'translation' shifts the image in any direction.

Then, the new function will be y = ( x - 3 ) + 2 i.e. y = x - 1.

Hence, on translating y = x - 3 upwards by 2 units, we will get the graph of y = x - 1 as seen below.