Weby = f(bx), 0 < b < 1, will stretch the graph of f(x) horizontally. Function Transformations: Horizontal and Vertical Stretches and Compressions This video explains to graph graph horizontal and vertical stretches and … WebJul 7, 2024 · Key Takeaways. When by either f (x) or x is multiplied by a number, functions can “stretch” or “shrink” vertically or horizontally, respectively, when graphed. In general, a vertical stretch is given by the equation y=bf (x) y = b f ( x ) . …. In general, a horizontal stretch is given by the equation y=f (cx) y = f ( c x ) .
Stretching & Compressing a Function - Video & Lesson …
WebVertical Stretches and Compressions. When we multiply a function by a positive constant, we get a function whose graph is stretched vertically away from or compressed vertically … WebLesson 17: Stretching functions. Identifying function transformations. Identifying horizontal squash from graph. Reflecting & compressing functions. Identify function transformations. ... Given the graphs of functions f and g, where g is the result of reflecting & compressing f by a factor of 3, Sal finds g(x) in terms of f(x). Sort by: Top Voted. people inflating anime
Shifting and Stretching Graphs – The Math Doctors
Translation means moving an object without rotation, and can be described as “sliding”. In describing transformations of graphs, some textbooks use the formal term “translate”, while others use an informal term like “shift”. Our first question comes from 1998: These examples represent the three main … See more Here is another very similar question from 2001: This time we have a vertical translation, a horizontal translation, and a vertical dilation. I chose to illustrate each concept with sample … See more None of these discussions went deeper into reflections than a brief mention in the first question. I will just add here that you can think of a reflection as a “stretch by a factor of -1”. That is, it just reverses direction. So a … See more In general, everything we do with xwill be the opposite of what you might expect, for this same reason. This is true not only of horizontal shifts, but of horizontal stretching as well, … See more The horizontal transformations, involving x, confuse many students. Here is a question from 2002 about just that: I referred to the last answer, and gave a little more detail: We … See more WebStretches of graphs If \(f(x) = x^2\) , then \(af(x) = a(x^2)\) . This tells us that we need to multiply each of the \(y\) coordinates on the graph by \(a\) in order to stretch the original … WebWhen the graph gets wider, it is either a vertical shrink or a horizontal stretch: essentially, shrinking TO the x-axis or stretching AWAY from the y-axis. So, in conclusion: if the graph moves on the y-axis: if the graph gets wider: vertical shrink if the graph gets narrower: vertical stretch if the graph does not move on the y-axis: tofino trading post