30:[] 2e:{"title":"Parabolas","cells":[{"id":0,"value":"md`# Parabolas`","pinned":false,"hidden":false,"mode":"ojs"},{"id":547,"value":"html`The general vertex form of the equation of a parabola is:`","pinned":false,"hidden":false,"mode":"ojs"},{"id":549,"value":"tex`y = a(x-h)^{2} + k`","pinned":false,"hidden":false,"mode":"ojs"},{"id":552,"value":"html`The shift left or right is determined by h. The shift up or down is determined by k. The width of the parabola is determined by a.`","pinned":false,"hidden":false,"mode":"ojs"},{"id":557,"value":"html`Below, the students can experiment by changing the values of a, h, or k with the sliders.`","pinned":false,"hidden":false,"mode":"ojs"},{"id":531,"value":"{ \n if(a == 1 || a == 0){\n var p1 = ``\n }else if(a == -1){\n var p1 = `-`\n }else{\n var p1 = a\n }\n \n if(a == 0){\n var p2 = ``\n }else if(h == 0){\n var p2 = `x^{2}`\n }else if(h < 0){\n var p2 = `(x + ${-h})^{2}`\n }else{\n var p2 = `(x - ${h})^{2}`\n }\n \n if(a == 0){\n var p3 = k\n }else if(k == 0){\n var p3 = ``\n }else if(k < 0){\n var p3 = `- ${-k}`\n }else{\n var p3 = `+ ${k}`\n }\n return tex`y = ${p1}${p2}${p3}`\n\n}\n","pinned":false,"hidden":false,"mode":"ojs"},{"id":13,"value":"{\n const svgDims = [600,600]\n const svg = d3.select(DOM.svg(svgDims[0],svgDims[1])).attr(\"style\",\"background:white;border:1px solid white\")\n \n //scales and axes\n const xScale = d3.scaleLinear().domain([-5,5]).range([30,570])\n const xAxis = svg.append(\"g\").attr(\"transform\",\"translate(0,300)\").call(d3.axisBottom(xScale).ticks(10))\n \n const yScale = d3.scaleLinear().domain([-25,25]).range([570,30])\n const yAxis = svg.append(\"g\").attr(\"transform\",\"translate(300,0)\").call(d3.axisLeft(yScale).ticks(10))\n \n const clip = svg.append(\"clipPath\")\n .attr(\"id\",\"clip\")\n\n const box = clip.append(\"rect\")\n .attr(\"width\",540)\n .attr(\"height\",540)\n .attr(\"x\",xScale(-5))\n .attr(\"y\",yScale(25))\n \n const pathData = d3.line().x(d => xScale(d)).y(d => yScale(a*((d-h)*(d-h))+ k) )(data)\n \n svg.append(\"path\")\n .attr(\"d\",pathData)\n .attr(\"stroke\",\"black\")\n .attr(\"fill\",\"none\")\n .attr(\"clip-path\",\"url(#clip)\")\n \n\n yield svg.node()\n}\n ","pinned":false,"hidden":false,"mode":"ojs"},{"id":343,"value":"viewof a = slider({min:-10,max:10,step:1,value: 1,description:\"set a\"})","pinned":false,"hidden":false,"mode":"ojs"},{"id":519,"value":"viewof h = slider({min:-5,max:5,step: 1,value: 0,description:\"set h\"})","pinned":false,"hidden":false,"mode":"ojs"},{"id":527,"value":"viewof k = slider({min:-25,max:25,step: 1,value: 0,description:\"set k\"})","pinned":false,"hidden":false,"mode":"ojs"},{"id":368,"value":"html`

Variables and Code

`","pinned":false,"hidden":false,"mode":"ojs"},{"id":502,"value":"data = {\n const data = []\n for(let i = -5; i <= 5; i = i + .1){\n data.push(i)\n }\n return data\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":11,"value":"html`

Libraries

`","pinned":false,"hidden":false,"mode":"ojs"},{"id":2,"value":"import {slider,button,select,text,radio,checkbox,number} from \"@jashkenas/inputs\"","pinned":false,"hidden":false,"mode":"ojs"},{"id":9,"value":"d3 = require(\"d3@5\")","pinned":false,"hidden":false,"mode":"ojs"}],"files":"$W30","stdlib":"1","titling":"auto"}