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Pearson Algebra 2 Common Core, 2011

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Pearson Algebra 2 Common Core, 2011 View details

10. Normal Distributions

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Exercise 44 Page 745

What operations indicate a horizontal translation?

Equation: y=x-3
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 right h units, h>0 y=f(x- h)	Translation left h units, h>0 y=f(x+ h)

In this case, we are asked to translate y=x-2 right by 1 unit. Therefore, we will need to subtract. y=(x- 1)-2 ⇔ y=x-3 Now we have enough information to graph the transformed function.

Subchapter links

Lesson Check p.743

Practice and Problem-Solving Exercises p.743-745

Standardized Test Prep p.745

Mixed Review p.745