Let’s apply the concept to compress f(x) = 6|x| + 8 by a scale factor of 1/2.
In general, when a function is compressed vertically by a (where 0 < a < 1), the graph shrinks by the same scale factor. Why don’t we observe what happens when f(x) is vertically compressed by a scale factor of 1/2 and 1/4?Īs we may have expected, when f(x) is compressed vertically by a factor of 1/2 and 1/4, the graph is also compressed by the same scale factor. The base of the function’s graph remains the same when a graph is compressed vertically. Vertical compressions occur when a function is multiplied by a rational scale factor. We’ll also apply our knowledge on vertical compressions by graphing different types of functions.
#QUADRATIC PARENT FUNCTION HOW TO#
This article will show how to identify vertical compressions given two or more functions’ expressions and graphs. Learn how to apply vertical and horizontal stretches as well.Refresh your knowledge of vertical and horizontal transformations.Understanding the common parent functions we might encounter.But by how much? It depends on the scale factor.īefore we start diving deeper into this topic, let’s make sure that we’re equipped with the right techniques and knowledge reviewing the following topics:
Vertical compression helps us shrink down functions vertically. Is it possible for us to transform a function by shrinking it down? Yes! One of the most helpful transformation techniques you’ll encounter is vertical compression. Vertical Compression – Properties, Graph, & Examples
0 kommentar(er)
