Berani Mencoba, Berani Berubah.

Latihan Soal Fungsi Kuadrat

Dave Wilson   2022-10-21

<p>&nbsp; &nbsp; &nbsp; &nbsp; Halo semuanya, hari ini kita akan mengerjakan latihan soal mengenai fungsi kuadrat. Kita akan langsung mulai saja dengan soal pertama.</p> <p>Ada sebuah grafik y = f(x) = 12 &ndash; 4x &ndash; x&sup2; dengan daerah asal (domain)&nbsp;= {𝑥/&minus;7 &le; 𝑥 &le; 3 , 𝑥 &isin; 𝑥}, tentukan:<br>A. Pembuat nol fungsi<br>B. Persamaan sumbu simetri<br>C. koordinat titik balik maksimum daerah hasil fungsi</p> <p>&nbsp; &nbsp; &nbsp; &nbsp; Kita akan mengerjakan bagian a dulu.</p> <p><img src="https://i.imgur.com/MhOOlwL.png" width="997" height="561"></p> <p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;Disini kita akan mencari pembuat nol fungsi. Caranya gampang, tinggal masukkan nol menggantikan y, dan menggunakan rumus topi kita menemukan 2 dan -6 sebagai pembuat nol fungsi. Sekarang kita akan mencari persamaan sumbu simetri dari fungsi kuadrat.</p> <p><img src="https://i.imgur.com/19bR63W.png" width="999" height="562"></p> <p>&nbsp; &nbsp; &nbsp; &nbsp; Kita menggunakan rumus -b/2a untuk mencari sumbu simetri. Hasilnya -2.</p> <p><img src="https://i.imgur.com/Ca7cnrh.png" width="997" height="561"></p> <p>&nbsp; &nbsp; &nbsp; &nbsp; Setelah mencari sumbu simetri, kita bisa menggunakan sumbunya sebagai x untuk mencari titik balik maksimum f(x). Hasilnya adalah 16, maka koordinat titik balik maksimum adalah (-2, 16)</p> <p>&nbsp; &nbsp; &nbsp; &nbsp; Lanjut ke soal berikutnya, sebuah roket diluncurkan vertikal ke atas. Tinggi h meter roket setelah t detik diluncurkan, dinyatakan dengan h(t) = 40t &ndash; 5t&sup2;.</p> <p>a. Buatlah sketsa dari grafik fungsi y = h(t) tersebut.<br>b. Tentukan tinggi maksimum yang di capai roket.<br>c. Tentukan selang waktu ketika tinggi roket mencapai lebih dari 60 meter.</p> <p><img src="https://i.imgur.com/72kSzMU.jpg"></p> <p>&nbsp; &nbsp; &nbsp; &nbsp; Diatas ini ada grafik dari fungsi tadi, dan kita bisa melihat tinggi maksimumnya adalah 80. Namun, kita akan menghitung hasilnya secara matematis, dengan cara berikut:</p> <p><img src="https://i.imgur.com/0ygU0Ps.png" width="997" height="561"></p> <p>&nbsp; &nbsp; &nbsp; &nbsp; Sekali lagi, kita menggunakan rumus yang sama, mencari sumbu simetri dan masukkan kedalam rumus. Kita mendapatkan hasil akhir yang sama yaitu 80 meter. Selanjutnya kita akan mencari selang waktu dimana ketinggian roket mencapai lebih dari 60.</p> <p><img src="https://i.imgur.com/97qPARK.png" width="997" height="561"></p> <p>&nbsp; &nbsp; &nbsp; &nbsp; Untuk mencari hasilnya, sebenarnya caranya mudah. Kita tinggal mencari t jika h(t) = 60, dan t berada di tengahnya (range tinggi roket diatas 60m). Kita mendapatkan hasil 2 dan 6, maka ketinggian roket lebih tinggi dari 60m pada detik&nbsp;3, 4 dan 5.</p>

Dimas Setiawan

Dave Wilson   2024-10-12

<p>Dimas sudah menggila!</p> <p><strong>DIMAS KEREN SEKALI</strong></p> <p><strong>卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐卐</strong></p> <p style="text-align: justify;">Lorem ipsum dolor sit amet, consectetur adipiscing elit. Fusce suscipit nunc sed lacus dictum porttitor a at leo. Vestibulum et odio quis justo efficitur dignissim non et nibh. Duis vel venenatis lectu<em>s. Lorem ips</em>um dolor sit amet, consectetur adipiscing elit. Praesent viverra sapien sed libero lobortis elementum. Nam sapien sapien, sodales at interdum nec, fermentum eget nulla. Integer ex tellus, viverra at rutrum sit amet, vestibulum et ipsum. Curabitur quis turpis sed libero lobortis pretium. Aliquam in enim tincidunt, dapibus velit et, condimentum nulla. Pellentesque tempus consectetur massa vel posuere. Phasellus facilisis mauris quis odio egestas iaculis.</p> <p>&nbsp;</p> <p><img 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" alt="" width="415" height="233"></p> <p>&nbsp;</p> <p>Dimas adalah peterkan ikan keren</p> <p>&nbsp;</p> <table style="border-collapse: collapse; width: 100%; height: 83.375px;" border="1"><colgroup><col style="width: 49.9565%;"><col style="width: 49.9565%;"></colgroup> <tbody> <tr style="height: 41.6875px;"> <td style="height: 41.6875px;"><strong>Lele ketangkap dimas</strong></td> <td style="height: 41.6875px;"><strong>Lele dijual dimas</strong></td> </tr> <tr style="height: 41.6875px;"> <td style="height: 41.6875px;">1</td> <td style="height: 41.6875px;">99999</td> </tr> </tbody> </table> <p>&lt;iframe width="560" height="315" src="https://www.youtube.com/embed/mG-XDaIGEM4?si=bkdK8JFgH0Gvvm4W" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" referrerpolicy="strict-origin-when-cross-origin" allowfullscreen&gt;&lt;/iframe&gt;</p> <p><iframe style="width: 475px; height: 267px;" title="YouTube video player" src="https://www.youtube.com/embed/mG-XDaIGEM4?si=bkdK8JFgH0Gvvm4W" width="475" height="267" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" allowfullscreen="allowfullscreen"></iframe></p> <p>&nbsp;</p> <p>KEREN &Omega; <strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong><strong>卐</strong></p>