How can PHP be used to create a coordinate system and plot functions like f(x)=(x+6)²+6?

To create a coordinate system and plot functions like f(x)=(x+6)²+6 using PHP, we can generate a set of x and y values for the function and then use a plotting library like JPGraph to visualize the graph. We will need to install JPGraph library and use it to create a graph with the function plotted on it. 

<?php
// Include the JPGraph library
require_once ('jpgraph/jpgraph.php');
require_once ('jpgraph/jpgraph_line.php');

// Function definition
function f($x) {
    return pow($x + 6, 2) + 6;
}

// Generate x and y values for the function
$x = range(-10, 10, 0.1);
$y = array_map('f', $x);

// Create a new graph
$graph = new Graph(800, 600);
$graph->SetScale('linlin');

// Create the line plot
$lineplot = new LinePlot($y);
$graph->Add($lineplot);

// Display the graph
$graph->Stroke();
?>

Keywords

PHP coordinate system plot functions graphing mathematical functions

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