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<title>5.1 Paraabelin yhtälö</title>
<id>https://peda.net/id/19392e0cd07</id>
<updated>2019-09-06T10:15:25+03:00</updated>
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<rights type="html">&lt;div class=&quot;license&quot;&gt;Tämän sivun lisenssi &lt;a rel=&quot;license&quot; href=&quot;https://peda.net/info&quot;&gt;Peda.net-yleislisenssi&lt;/a&gt;&lt;/div&gt;&#10;</rights>

<entry>
<title>510</title>
<id>https://peda.net/id/ebf29efed08</id>
<updated>2019-09-06T11:40:03+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mag/5py/510#top" />
<content type="html">&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=x%3D3%5Cleft(y-5%5Cright)%5E2%2B1&quot; alt=&quot;x=3\left(y-5\right)^2+1&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=paraabeli%5C%20avautuu%5C%20oikealle&quot; alt=&quot;paraabeli\ avautuu\ oikealle&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=x-1%3D3%5Cleft(y-5%5Cright)%5E2&quot; alt=&quot;x-1=3\left(y-5\right)^2&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=huippu%5C%20on%5C%20%5Cleft(1%7B%2C%7D5%5Cright)&quot; alt=&quot;huippu\ on\ \left(1{,}5\right)&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=y%3D-6%5Cleft(x-7%5Cright)%5E2-2&quot; alt=&quot;y=-6\left(x-7\right)^2-2&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=paraabeli%5C%20avautuu%5C%20alas&quot; alt=&quot;paraabeli\ avautuu\ alas&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=y%2B2%3D-6%5Cleft(x-7%5Cright)%5E2&quot; alt=&quot;y+2=-6\left(x-7\right)^2&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=huippu%5C%20on%5C%20%5Cleft(7%7B%2C%7D-2%5Cright)&quot; alt=&quot;huippu\ on\ \left(7{,}-2\right)&quot;/&gt;</content>
<published>2019-09-06T11:40:03+03:00</published>
</entry>

<entry>
<title>508</title>
<id>https://peda.net/id/fae9b1bed08</id>
<updated>2019-09-06T11:33:19+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mag/5py/508#top" />
<content type="html">&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Cbegin%7Bcases%7D%0A3x%2B6y%3D0%26%5C%5C%0A2y%5E2-3x%2B4y%3D0%26%0A%5Cend%7Bcases%7D&quot; alt=&quot;\begin{cases}&amp;#10;3x+6y=0&amp;amp;\\&amp;#10;2y^2-3x+4y=0&amp;amp;&amp;#10;\end{cases}&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=2y%5E2%2B10y%3D0&quot; alt=&quot;2y^2+10y=0&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=ratkaisukaavalla&quot; alt=&quot;ratkaisukaavalla&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=y%3D-5%5C%20tai%5C%20y%3D0&quot; alt=&quot;y=-5\ tai\ y=0&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=sijoitetaan%5C%20luvut%5C%20y%5C%20paikalle&quot; alt=&quot;sijoitetaan\ luvut\ y\ paikalle&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=3x%2B6%5Cleft(-5%5Cright)%3D0&quot; alt=&quot;3x+6\left(-5\right)=0&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=3x%3D30&quot; alt=&quot;3x=30&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=x%3D10%7B%2C%7D%5C%20%5Cleft(10%7B%2C%7D%5C%20-5%5Cright)&quot; alt=&quot;x=10{,}\ \left(10{,}\ -5\right)&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=3x%2B6%5Ccdot0%3D0&quot; alt=&quot;3x+6\cdot0=0&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=3x%3D0&quot; alt=&quot;3x=0&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=x%3D0%7B%2C%7D%5C%20%5Cleft(0%7B%2C%7D0%5Cright)&quot; alt=&quot;x=0{,}\ \left(0{,}0\right)&quot;/&gt;</content>
<published>2019-09-06T11:33:19+03:00</published>
</entry>

<entry>
<title>506</title>
<id>https://peda.net/id/4cf26f74d08</id>
<updated>2019-09-06T11:28:27+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mag/5py/506#top" />
<content type="html">&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Cbegin%7Bcases%7D%0Ax%3Dy%5E2%26%5C%5C%0Ay%3Dx%5E2%26%0A%5Cend%7Bcases%7D&quot; alt=&quot;\begin{cases}&amp;#10;x=y^2&amp;amp;\\&amp;#10;y=x^2&amp;amp;&amp;#10;\end{cases}&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=ratkaistaan%5C%20laskimella&quot; alt=&quot;ratkaistaan\ laskimella&quot;/&gt;&lt;!--filtered attribute: style=&quot;display: inline;&quot;--&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Cleft(0%7B%2C%7D0%5Cright)%5C%20ja%5C%20%5Cleft(1%7B%2C%7D1%5Cright)&quot; alt=&quot;\left(0{,}0\right)\ ja\ \left(1{,}1\right)&quot;/&gt;</content>
<published>2019-09-06T11:28:27+03:00</published>
</entry>

<entry>
<title>504</title>
<id>https://peda.net/id/c099da12d07</id>
<updated>2019-09-06T11:25:02+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mag/5py/504#top" />
<content type="html">&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=y%5E2%2Bx-2y-3%3D0&quot; alt=&quot;y^2+x-2y-3=0&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=kun%5C%20leikkaa%5C%20x-akselin%5C%20kanssa%7B%2C%7D%5C%20y%3D0&quot; alt=&quot;kun\ leikkaa\ x-akselin\ kanssa{,}\ y=0&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=x-3%3D0&quot; alt=&quot;x-3=0&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=x%3D3&quot; alt=&quot;x=3&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Cleft(3%7B%2C%7D0%5Cright)&quot; alt=&quot;\left(3{,}0\right)&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=kun%5C%20leikkaa%5C%20y-akselin%5C%20kanssa%7B%2C%7D%5C%20x%3D0&quot; alt=&quot;kun\ leikkaa\ y-akselin\ kanssa{,}\ x=0&quot;/&gt;&lt;!--filtered attribute: style=&quot;display: inline;&quot;--&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=y%5E2-2y-3%3D0&quot; alt=&quot;y^2-2y-3=0&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=ratkaisukaavalla&quot; alt=&quot;ratkaisukaavalla&quot;/&gt;&lt;!--filtered attribute: style=&quot;display: inline;&quot;--&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=y%3D-1%5C%20tai%5C%20y%3D3&quot; alt=&quot;y=-1\ tai\ y=3&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Cleft(0%7B%2C%7D%5C%20-1%5Cright)%5C%20ja%5C%20%5Cleft(0%7B%2C%7D3%5Cright)&quot; alt=&quot;\left(0{,}\ -1\right)\ ja\ \left(0{,}3\right)&quot;/&gt;&lt;br/&gt;&#10;&lt;br/&gt;&#10;&lt;a href=&quot;https://peda.net/p/oskari.lahtinen/mag/5py/504/sieppaa-png#top&quot; title=&quot;Sieppaa.PNG&quot;&gt;&lt;img src=&quot;https://peda.net/p/oskari.lahtinen/mag/5py/504/sieppaa-png:file/photo/5064e9284483743099e03efadd79e5354195ec54/Sieppaa.PNG&quot; alt=&quot;&quot; title=&quot;Sieppaa.PNG&quot; class=&quot;inline&quot; loading=&quot;lazy&quot;/&gt;&lt;/a&gt;</content>
<published>2019-09-06T11:24:32+03:00</published>
</entry>

<entry>
<title>502</title>
<id>https://peda.net/id/fea11548d07</id>
<updated>2019-09-06T11:14:43+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mag/5py/502#top" />
<content type="html">a) ylös, x=2&lt;br/&gt;&#10;b) oikealle, y=-3 &lt;br/&gt;&#10;c) alas, x=3&lt;br/&gt;&#10;d) vasemmalle, y=1&lt;br/&gt;&#10;&lt;br/&gt;&#10;&lt;a href=&quot;https://peda.net/p/oskari.lahtinen/mag/5py/502/sieppaa-png#top&quot; title=&quot;Sieppaa.PNG&quot;&gt;&lt;img src=&quot;https://peda.net/p/oskari.lahtinen/mag/5py/502/sieppaa-png:file/photo/8d0607cb2ab352c56f441e4acac58028229fafb3/Sieppaa.PNG&quot; alt=&quot;&quot; title=&quot;Sieppaa.PNG&quot; class=&quot;inline&quot; loading=&quot;lazy&quot;/&gt;&lt;/a&gt;</content>
<published>2019-09-06T11:11:57+03:00</published>
</entry>

<entry>
<title>501</title>
<id>https://peda.net/id/05c95fd4d07</id>
<updated>2019-09-06T11:04:59+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mag/5py/501#top" />
<content type="html">A4&lt;br/&gt;&#10;B1&lt;br/&gt;&#10;C2&lt;br/&gt;&#10;D3</content>
<published>2019-09-06T11:04:59+03:00</published>
</entry>


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