Function Plot

A dynamic plot of a quadratic function

Complete Code

POD for Macro Files

plots.pl

PG problem file

Explanation

DOCUMENT();

loadMacros('PGstandard.pl', 'PGML.pl', 'plots.pl', 'PGcourse.pl');

Preamble

These standard macros need to be loaded.

$a = non_zero_random(-3, 3);

$plot = Plot(
    xmin        => -3.2,
    xmax        =>  3.2,
    ymin        => -10,
    ymax        =>  10,
    xtick_delta =>  1,
    ytick_delta =>  2,
    xlabel      => '\(x\)',
    ylabel      => '\(y\)',
);

$plot->add_function("$a x^2 for x in {-3,3} using color:blue, width:3");

Setup

For this problem, a plot of y = ax² for a random value of a is generated. Create a Plot object with the given plotting window and other axis properties.

The add_function method takes a string with the function and properties of the plot. The {-3,3} is the domain of the plot where curly braces produces arrows. Other formats for this are (-3,3) for open endpoints and [-3,3] are closed endpoints. They can be mixed.

BEGIN_PGML
The following plot is a quadratic:

>>[! Plot of a quadratic function !]{$plot}{500}<<

What is the form of the function?  [`f(x)=`] [_]{Compute("$a x^2")}

END_PGML

Statement

By default, the plot uses JSXGraph to plot the graph in HTML and will use tikz/pgfplots to produce the hardcopy.

The [! !]{}{} is a PGML format for inserting an image, with the first argument is the alternate text for the image, the second argument is the plot and the third is the width of the plot.

BEGIN_PGML_SOLUTION
Solution explanation goes here.
END_PGML_SOLUTION

ENDDOCUMENT();

Solution

A solution should be provided here.