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Big Ideas Math Algebra 2, 2014
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Big Ideas Math Algebra 2, 2014 View details
2. Properties of Rational Exponents and Radicals
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Exercise 86 Page 250

What operations indicate a vertical translation?

Rule for g : g(x)= x^3-x-3
Transformation: Translation down by 3 units.

Practice makes perfect

We will describe the graph of g as a transformation of the graph of f. Then we will write a rule for g.

Describing the Transformation

Vertical translations mean addition or subtraction from the output of a function. Translating up is adding, and translating down is subtracting.
Vertical Translations
Translation up k units, k>0 y=f(x)+ k Translation down k units, k>0 y=f(x)- k

In this case, we are translating f(x) down by 3 units. Therefore, we will subtract. g(x)=f(x) down by 3 units ⇓ g(x)=f(x)- 3

Finding the Rule for g(x)

Let's write the rule for g(x). g(x) = f(x) -3 ⇒ g(x)= x^3-x-3

Subchapter links expand_more
arrow_right Communicate Your Answer p.243
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arrow_right Monitoring Progress p.244-247
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arrow_right Exercises p.248-250
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Exercises 81 (Page 250)
Exercises 82 (Page 250)
Exercises 83 (Page 250)
Exercises 84 (Page 250)
Exercises 85 (Page 250)
Exercises 86 (Page 250)
Exercises 87 (Page 250)
Exercises 88 (Page 250)