Question

What is the equation of the graph of `y=|x|` that is shifted 6 units up and 7 units to the right?

Answer 1

See explanation

Explanation:

`x-7` looks at the point `y=|x-7|` and plots it at `x` thus shifting the whole thing right by 7

Consider `y_1=|x-7|`

Add 6 to both sides giving

`y_2=y_1+6=|x-7|+6`

In other words the point `y_2` is the point `y_1` but lifted by 6