Question

Julian graphs the function f(x)= 2x + 5. He then moves the graph down 8 units to create the function g(x). Create an equation g(x) represents.

Answer 1

To translate vertically a function we make the transformation:

`f(x)+c`

where c is the number of units we want it to move. If c is positive then we move the function up, whereas if c is negative we move the function down.

Then in this case we have that c=-8, then the function g would be:

`\begin{gathered} g(x)=(2x+5)-8 \\ g(x)=2x-3 \end{gathered}`

Therefore:

`g(x)=2x-3`