Difference between revisions of "ScalingTranslating1"

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(Created page with '<h2>Scaling and Translating Functions</h2> 300px|thumb|right|Click to enlarge <p style="background-color:#f9f9f9;border:black solid 1px;padding:…')
 
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<p style="font-size: 120%;font-weight:bold">This problem has been replaced with [https://openwebwork.github.io/pg-docs/sample-problems/Algebra/ScalingTranslating.html a newer version of this problem]</p>
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<h2>Scaling and Translating Functions</h2>
 
<h2>Scaling and Translating Functions</h2>
   
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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.
 
This PG code shows how to add a named function to the context and use it to asses whether students know their graph transformations.
 
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* Download file: [[File:ScalingTranslating1.txt]] (change the file extension from txt to pg when you save it)
 
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* File location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/Precalc/ScalingTranslating1.pg FortLewis/Authoring/Templates/Precalc/ScalingTranslating1.pg]
* File location in NPL: <code>FortLewis/Authoring/Templates/Precalc/ScalingTranslating1.pg</code>
 
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* PGML location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/Precalc/ScalingTranslating1_PGML.pg FortLewis/Authoring/Templates/Precalc/ScalingTranslating1_PGML.pg]
   
 
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[[Category:Top]]
 
[[Category:Top]]
[[Category:Authors]]
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[[Category:Sample Problems]]
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[[Category:Subject Area Templates]]

Latest revision as of 06:05, 18 July 2023

This article has been retained as a historical document. It is not up-to-date and the formatting may be lacking. Use the information herein with caution.

This problem has been replaced with a newer version of this problem


Scaling and Translating Functions

Click to enlarge

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


Templates by Subject Area

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:

Templates by Subject Area