Edited text

StephenElston · StephenElston · commit 72db531f14b2 · 2018-07-06T07:23:18.000-07:00
diff --git a/Module01/01-07-Quadratic Equations.ipynb b/Module01/01-07-Quadratic Equations.ipynb
@@ -541,7 +541,7 @@
     "\n",
     "\\begin{equation}y = 2(x - 4)^{2} - 30\\end{equation}\n",
     "\n",
-    "Let's just quickly check our math with Python:"
+    "Let's just quickly check our math with R:"
    ]
   },
   {
@@ -596,7 +596,7 @@
     "\n",
     "So, we know that the line of symmetry is at ***x = h*** (which is 4), and we now know that the ***y*** value when ***x*** is 0 (***h*** - ***h***) is 2. The ***y*** value at the same distance from the line of symmetry in the negative direction will be the same as the value in the positive direction, so when ***x*** is ***h*** + ***h***, the ***y*** value will also be 2.\n",
     "\n",
-    "The following Python code encapulates all of this in a function that draws and annotates a parabola using only the ***a***, ***h***, and ***k*** values from a quadratic equation in vertex form:"
+    "The following R code encapsulates all of this in a function that draws and annotates a parabola using only the ***a***, ***h***, and ***k*** values from a quadratic equation in vertex form:"
    ]
   },
   {
@@ -688,7 +688,7 @@
    "metadata": {},
    "source": [
     "## Shortcuts for Solving Quadratic Equations\n",
-    "We've spent some time in this notebook discussing how to solve quadratic equations to determine the vertex of a parabola and the ***x*** values in relation to ***y***. It's important to understand the techniques we've used, which incude:\n",
+    "We've spent some time in this notebook discussing how to solve quadratic equations to determine the vertex of a parabola and the ***x*** values in relation to ***y***. It's important to understand the techniques we've used, which include:\n",
     "- Factoring\n",
     "- Calculating the Square Root\n",
     "- Completing the Square\n",
@@ -745,7 +745,7 @@
     "\n",
     "\\begin{equation}x = \\frac{--16 \\pm \\sqrt{-16^{2} - 4\\cdot2\\cdot2}}{2\\cdot2}\\end{equation}\n",
     "\n",
-    "This simplifes to:\n",
+    "This simplifies to:\n",
     "\n",
     "\\begin{equation}x = \\frac{16 \\pm \\sqrt{256 - 16}}{4}\\end{equation}\n",
     "\n",
@@ -763,7 +763,7 @@
     "\n",
     "\n",
     "\n",
-    "The following Python code uses the vertex formula and the quadtratic formula to calculate the vertex and the -x and +x for y = 0, and then plots the resulting parabola:"
+    "The following R code uses the vertex formula and the quadratic formula to calculate the vertex and the -x and +x for y = 0, and then plots the resulting parabola:"
    ]
   },
   {
@@ -909,7 +909,7 @@
    "mimetype": "text/x-r-source",
    "name": "R",
    "pygments_lexer": "r",
-   "version": "3.4.1"
+   "version": "3.5.0"
   }
  },
  "nbformat": 4,
