On the other hand, if we apply 𝑥 → − 𝑥 4 to the same expression, this results in − 𝑥 4 + 4 , which simplifies to For instance, if we begin with the expression 𝑥 + 4 , the transformation 𝑓 ( 𝑥 ) → − 𝑓 ( 𝑥 ) 4 would result in the expression − 1 4 𝑥 + 4 , which simplifies to The changes to the function 𝑓 ( 𝑥 ) are applied directly to the expression 𝑓 ( 𝑥 ), while the changes to the 𝑥-variable are applied to the variable 𝑥. We recall that function transformations can be grouped as follows: Let us begin by reviewing different types of function transformations.
In this explainer, we will learn how to identify function transformations that include a combination of translation, dilation, and reflection.
