Скачать или смотреть Vertical stretches and reflections over x axis

After reviewing the word “translation”, and showing several vertical and horizontal translation (that do not change the shape of the function), we look at stretches and reflections, which may change the shape of the function, even while leaving it recognizable.

We start off by showing how a stretch and a squeeze are the same thing and explain why we call both of them stretches. (We want to keep our SRT simple without adding more letters.) Then we examine a reflection in (or through) the x axis. This is really simply a negative stretch. We demonstrate this for y = ½ sin (x), and y = - sin (x).

As application, we look at 2 different examples of various vertical stretches. One is a trapezoid, and the other is y = root x. The root x is done visually but the trapezoid is transformed by y = -2 (F(x)) by using key points and calculating the new location of those.

Of course, the trapezoid is not a real function because it does not pass the vertical line test. You could also understand a function by looking at independent and dependent variable. Y must rely on x alone.