![]() Identifying Vertical Shifts30 graphing exponential function transformations HW U9D3 Exponential. When we tilt the mirror, the images we see may shift horizontally or vertically.Transformation of Functions Objectives: Transform quadratic functions.emphasize that this is a transformation on y. But what happens when we bend a flexible mirror? Like a carnival funhouse mirror, it presents us with a distorted image of ourselves, stretched or compressed horizontally or vertically. In a similar way, we can distort or transform mathematical functions to better adapt them to describing objects or processes in the real world. 4 1 1 y x z z 1 1 y x x+y z 1 z 2 2-z 2-z Figures 1.6 and 1.7 f (z) Z 1-12z Figure 1.8 4.In this section, we will take a look at several kinds of transformations. ![]() A random variable Xhas density f(x)ax2 on the interval 0,b.Find the density of Y X3. The Cauchydensityis given by f(y)1/(1+y2) for all real y.Show that one way to produce this density is to take the tangent of a random variable Xthat is uniformly distributed between /2 and /2.set of continuous, real-valued functions on AT.
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