What is the equation of the
function y = x translated 3 units
up and 4 units left?

Step-by-step explanation:

y=(x+4)+3

y = x + 7

Step-by-step explanation:

Since y = x is a linear function, it may be confusing when using the translation tips you learned from class to solve it. However, there is an easy way to go about it.

1. Remember that when a function moves left, we use + inside of the parenthesis.

4 units left:

y = (x + 4)

2. Remember that when a function moves up, we use + outside of the parenthesis.

3 units up:

y = (x + 4) + 3

3. Add 'em up

y = x + 7

Since the function is linear, it may be confusing to see whether the graph moved up or left. However, by following the origin (0,0) of y = x and moving 4 units left and 3 units up, you will see that the origin has moved from (0,0) to (-4, 3), representing 4 units to the left and 3 units up on a graph.

Hope this helps :)