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Pearson Algebra 2 Common Core, 2011 View details

10. Normal Distributions

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Exercise 45 Page 745

What operations indicate a horizontal translation?

Equation: y=x
Graph:

Practice makes perfect

Horizontal translations occur when we add or subtract a value from the argument of a function. We can observe it more clearly in the table below.

Horizontal Translations
Translation left h units, h>0 y=f(x+ h)	Translation right h units, h>0 y=f(x- h)

In this case, we are asked to translate y=x-2 left by 2 units. Therefore, we will need to add. y=(x+ 2)-2 ⇔ y=x Now, we have enough information to graph the transformed function.