{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Courbe représentative d'une fonction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Le minimum :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from pylab import plt,linspace,show\n",
    "\n",
    "x = linspace(-3, 5, 50)\n",
    "y = x**2+3\n",
    "plt.plot(x, y)\n",
    "show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Mieux :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from pylab import *\n",
    "x = linspace(-3, 5, 50)\n",
    "y = x**2+3\n",
    "plt.plot(x, y, label=\"f\")\n",
    "plt.legend()\n",
    "xlim(-3, 5)\n",
    "ylim(-1, 10)\n",
    "xlabel(\"abscisses\")\n",
    "ylabel(\"ordonnees\")\n",
    "title(\"TITRE\")\n",
    "show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Avec des axes se coupant en (0,0) et calcul de la meilleure fenêtre"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pylab import *\n",
    "\n",
    "x = linspace(-3, 5, 50)\n",
    "y1 = x**2-3\n",
    "y2= x**2 -2*x+2\n",
    "plt.plot(x, y1, label=\"f\")\n",
    "plt.plot(x, y2, \"r--\",label=\"g\")\n",
    "plt.legend()\n",
    "xlim(-3, 5)\n",
    "#ylim(-1, 10)\n",
    "xlabel(\"abscisses\")\n",
    "ylabel(\"ordonnees\")\n",
    "title(\"Fonctions du second degre\")\n",
    "plt.grid(True) #grille\n",
    "plt.setp(gca(),autoscale_on=True) #calcul de la meilleure fenêtre\n",
    "#pour avoir des axes se coupant en (0,0)\n",
    "ax = gca()  #gca() retourne les axes courants\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "ax.xaxis.set_ticks_position('bottom')\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "ax.yaxis.set_ticks_position('left')\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "\n",
    "show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plusieurs figures :\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pylab import *\n",
    "#definition d'une fonction du seconde degre f(x)=ax**2+bx+c\n",
    "def f(a,b,c,x):\n",
    "    return a*x**2+b*x+c\n",
    "\n",
    "x = linspace(-5, 5, 50)\n",
    "y1 = f(1,2,-3,x)\n",
    "y2 = f(1,2,1,x)\n",
    "y3 = f(1,2,3,x)\n",
    "y4 = f(-1,-2,3,x)\n",
    "y5 = f(-1,-2,-1,x)\n",
    "y6 = f(-1,-2,-3,x)\n",
    "\n",
    "plt.subplot(231)  #2  lignes , 3 colonnes 1ère figure\n",
    "plt.plot(x, y1, label=\"f1\")\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "\n",
    "plt.subplot(232)\n",
    "plt.plot(x, y2, label=\"f2\")\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "\n",
    "plt.subplot(233)\n",
    "plt.plot(x, y3, label=\"f3\")\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "\n",
    "plt.subplot(234)\n",
    "plt.plot(x, y4, label=\"f4\")\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "\n",
    "plt.subplot(235)\n",
    "plt.plot(x, y5, label=\"f5\")\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "\n",
    "plt.subplot(236)\n",
    "plt.plot(x, y6, label=\"f6\")\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "\n",
    "show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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