ScalingTranslating1

Scaling and Translating Functions

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This PG code shows how to add a named function to the context and use it to asses whether students know their graph transformations.

• File location in OPL: FortLewis/Authoring/Templates/Precalc/ScalingTranslating1.pg

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PG problem file	Explanation
Problem tagging data	Problem tagging:
DOCUMENT(); loadMacros( "PGstandard.pl", "MathObjects.pl", "AnswerFormatHelp.pl", "parserFunction.pl", ); TEXT(beginproblem());	Initialization: We must load parserFunction.pl so that we can add a named function to the context.
Context("Numeric"); parserFunction(f => "sin(e*x)+5.5*pi"); $answer = Formula("f(x-2) + 1");	Setup: The parserFunction method allows us to add a named function to the context. We can define this function however we want, so we chose a function whose formula the students will not guess, whose domain is all real numbers, and which will have no issues during answer evaluation. Once a named function is added to the context, you can use it like you would any other named function.
Context()->texStrings; BEGIN_TEXT A function \( f(x) \) is shifted to the right \( 2 \) units and up \( 1 \) unit. Find a formula for this shifted function in terms of the function \( f(x) \). $BR $BR Answer = \{ ans_rule(20) \} \{ AnswerFormatHelp("formulas") \} END_TEXT Context()->normalStrings;	Main Text:
$showPartialCorrectAnswers = 1; ANS( $answer->cmp() );	Answer Evaluation:
Context()->texStrings; BEGIN_SOLUTION ${PAR}SOLUTION:${PAR} Solution explanation goes here. END_SOLUTION Context()->normalStrings; COMMENT('MathObject version.'); ENDDOCUMENT();	Solution:

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