{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 617
        },
        "id": "LXlSRBeHtETj",
        "outputId": "aaadb9c7-a385-4e3b-8286-cbb1fc9e99f0"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Introduce el valor de p (distancia foco-vértice) en mm: 100\n",
            "Introduce la coordenada x del vértice h: 5\n",
            "Introduce la coordenada y del vértice k: 8\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 600x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "# Ejercicio Extra 3.1.6.\n",
        "\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Pedir parámetros al usuario\n",
        "p = float(input(\"Introduce el valor de p (distancia foco-vértice) en mm: \"))\n",
        "h = float(input(\"Introduce la coordenada x del vértice h: \"))\n",
        "k = float(input(\"Introduce la coordenada y del vértice k: \"))\n",
        "\n",
        "# Generar puntos para x (evitando valores menores a h para que la raíz sea real)\n",
        "x = np.linspace(h, h + 4*p, 500)\n",
        "y_positive = k + np.sqrt(4*p*(x - h))\n",
        "y_negative = k - np.sqrt(4*p*(x - h))\n",
        "\n",
        "# Dibujar la parábola\n",
        "plt.figure(figsize=(6,6))\n",
        "plt.plot(x, y_positive, 'b', label=\"y positiva\")\n",
        "plt.plot(x, y_negative, 'r', label=\"y negativa\")\n",
        "plt.scatter(h, k, color='green', label=\"Vértice\")\n",
        "plt.axhline(k, color='gray', linestyle='--')  # línea horizontal eje simetría\n",
        "plt.axvline(h, color='gray', linestyle='--')  # línea vertical eje de simetría\n",
        "plt.title(f\"Parábola y^2=4p(x-h), p={p}, vértice=({h},{k})\")\n",
        "plt.xlabel(\"X (mm)\")\n",
        "plt.ylabel(\"Y (mm)\")\n",
        "plt.legend()\n",
        "plt.grid(True)\n",
        "plt.axis('equal')\n",
        "plt.show()"
      ]
    }
  ]
}