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An additive change shows horizontal translation.A multiplicative change shows horizontal stretch or compression.

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Q: What does the change in x values say about the transformation?
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What kind of transformation would add 4 to the x-values of every point in a shape and subtract 2 from the y values of every point in a shape?

The transformation from y = f(x) to y = f(x - 4) - 2


What is one advantage of transforming X values into z scores?

The transformation always creates a normal shaped distribution.


Does a transformation ever change the shape of a figure?

Yes. The transformation from y = f(x) to y=f(2x) will compress the shape along the x-axis by a factor of 2.


What is the scientific definition of slope?

Change in y values over change in x values. Rise over run.


Why do linear functions have a rate of change?

Linear functions have a rate of change because their slope parameter is non-zero. That is, as their x or y values changes, their corresponding x or y values change in response.


Constants are variables that can'ts or can change?

Constant : these refers to values which do not change. they have the same value throughout the process. Like "1" is a constant value it will never change 1 will always remain 1. i.e.1=1 Varaibles= these refers to those quantities or values which change.for eg. if in a mathematical equation we have "X" variable. Now "X" can have number of values X =2 or X= 3 or X=10000 so they are called variables because their values change.


In an inverse relationship how do the values of y change as the values of x increase?

Y would decrease in value as X increases in value.


In an inverse relationship how do the values of y change as the values of x is decreased?

The value of y increases, such that x*y remains a constant.


What is the benefit of always writing slope as a function?

This will emphasize the 'rise over run' expression of slope. In other words, the change in y over the change in x. This show the run, or change in x values, even if the slope is a whole number. A slope of 3 becomes 3/1 showing the change in y-values to be 3 and the change in x-values to be 1.


How do you calculate an average in a graph?

change in y values of 1st and last points divided by the change in x values of the 1st and last points


What does slope represent?

In math, the slope of a line represents its steepness. It is the change in y values over the change in the values of x, or rise over run.


What rule describes a transformation across the Y-Axis?

Since the x coordinate will change, but not the y coordinate, take (x,y) and reflect across the y axis and you have (-x,y)