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<!DOCTYPE html>
<html data-require="math graphie graphie-helpers">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<title>Parabola intuition 1</title>
<script data-main="../local-only/main.js" src="../local-only/require.js"></script>
<style>
.info-box .mini-button {
padding: 0px 5px;
width: 20px;
}
</style>
</head>
<body>
<div class="exercise">
<div class="vars">
<var id="A">randRangeNonZero( -3, 3 )</var>
<var id="X1">randRangeNonZero( -5, 5 )</var>
<var id="Y1">randRangeNonZero( -5, 5 )</var>
</div>
<div class="problems">
<div>
<p class="question">Adjust the leading coefficient and vertex coordinates to make the blue parabola match the orange parabola.</p>
<p>How do these numbers affect the shape and position of a parabola?</p>
<div class="graphie" id="grid">
graphInit({
range: 10,
scale: 20,
tickStep: 1,
axisArrows: "&lt;-&gt;"
});
// Plot the orange parabola
style({
stroke: "#FFA500",
fill: "none",
clipRect:[[-10, -10], [20, 20]],
arrows: null
});
plot(new Parabola(A, X1, Y1).graphieFunction, [-10, 10]);
style({
stroke: "#6495ED",
strokeWidth: 3,
fill: "none",
clipRect:[[-10, -10], [20, 20]],
arrows: null
});
graph.currParabola = new Parabola(1, 0, 0);
graph.currParabola.plot();
</div>
<div class="solution" data-type="custom">
<!--
There didn't seem to be an easy way to bind handlers normally after everything had loaded.
It would also be nice to press and hold.
-->
<div class="instruction">
<div id="plus-buttons">
<input class="simple-button mini-button" onclick="updateParabola(0, 0, -1)" style="margin-left: 20px;" type="button" value="+">
<input class="simple-button mini-button" onclick="updateParabola(1, 0, 0)" style="margin-left: 8px;" type="button" value="+">
<input class="simple-button mini-button" onclick="updateParabola(0, -1, 0)" style="margin-left: 20px;" type="button" value="+">
</div>
<p id="equation-label" style="margin: 8px 0px 2px 0px"><code>y - 0 = 1(x - 0)^{2}</code></p>
<div id="minus-buttons" style="padding-bottom: 15px">
<input class="simple-button mini-button" onclick="updateParabola(0, 0, 1)" style="margin-left: 20px;" type="button" value="-">
<input class="simple-button mini-button" onclick="updateParabola(-1, 0, 0)" style="margin-left: 8px;" type="button" value="-">
<input class="simple-button mini-button" onclick="updateParabola(0, 1, 0)" style="margin-left: 20px;" type="button" value="-">
</div>
</div>
<div class="guess">[A, X1, Y1]</div>
<div class="validator-function">
var parab = graph.currParabola;
return parab.getLeadingCoefficient() === A &amp;&amp;
parab.getVertexX() === X1 &amp;&amp;
parab.getVertexY() === Y1;
</div>
<div class="show-guess">
guess = guess.length ? guess : [1, 0, 0];
var parab = graph.currParabola;
parab.update.apply(parab, guess);
redrawParabola(false);
</div>
<div class="show-guess-solutionarea">
guess = guess.length ? guess : [1, 0, 0];
var a = guess[0],
x = guess[1],
y = guess[2];
var equation = "y - " + y + "=" + a + "(x - " + x + ")^{2}";
equation = cleanMath(equation);
$("#equation-label").html("&lt;code&gt;" + equation + "&lt;/code&gt;").tex();
</div>
</div>
</div>
</div>
</div>
</body>
</html>
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