Question

Write the equation that is the translation of y=|x| left 1 unit and up 2 units

Answer 1

To translate a graph 2 units "up", you replace "y" with "y - 2"
To translate a graph 1 unit to the left, you replace "x" with "x + 1"

So, you would have:

y - 2 = |x + 1| which can also be written: y = |x + 1| + 2

If you want to remove the absolute value sign, you can always write the function as 2 parts:

y = x + 3 for x >= -1 and
y = -x + 1 for x < -1

Answer 2

@Friendsandfoes

Answer 3

I think it would be y=|x+1|+2

Answer 4

oh, awesome! i should be more selfassure of myself. Thanks Tcarroll. :)

Answer 5

uw!