# Vertical Translations

What do you notice from the previous two graphs?  You may have noticed that the parent function $$f(x)=2^x$$ shifted up 3 units from it’s original position.

What do you wonder? You might be wondering, if a translations always occurs when you add a constant value to the function $$y$$-value.

Using the table below, as well as a coordinate grid, if you were to translate the parent function down 2 units, what would the graph be, the new table be and the new function?  Desmos would be a good tool to utilize as well.

 $$x$$ $$f(x)=2^x$$ $$-2$$ $$1/4$$ $$-1$$ $$1/2$$ $$0$$ $$1$$ $$1$$ $$2$$ $$2$$ $$4$$