Exercise 46 Page 745

Horizontal translations occur when we add or subtract a value from the argument of a function. We can observe it more clearly in the table below.

In this case, we are asked to translate y=x-2 left by 34 unit. Therefore, we will need to add. y=f(x+ h) ⇔ y=(x+ h)-2 Now, we can substitute h= 34 and simplify the equation.

Finally, we have enough information to graph the transformed function.