When we have a function we want to move across the coordinates, we have to keep this in mind:
When it moves to the right you have to subtract to the x --> f(x - number of units)
When it moves to the left, you have to add to the x -> f(x + number of units)
When it moves up, you have to add to the function not the x, so -> f(x) + number of units
When it moves down, you have to subtract to the function not the x, so -> f(x) - number of units
It moved 5 units to the left and 1 unit up
So, the new function is:
[tex]y=(x+5)^2+1[/tex]
