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.
| \(x\) | \(f(x)=2^x\) |
| \(-2\) | \(1/4\) |
| \(-1\) | \(1/2\) |
| \(0\) | \(1\) |
| \(1\) | \(2\) |
| \(2\) | \(4\) |
Check solutions here.
