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gösterimidir."]},"beginTime":89,"endTime":150,"href":"/video/preview/15039170168708833838?parent-reqid=1769618249914759-17148175007665452499-balancer-l7leveler-kubr-yp-vla-71-BAL&text=Parabola+Guide&t=89&ask_summarization=1"},{"index":2,"title":"Parabolün Tanımı","list":{"type":"unordered","items":["İkinci dereceden polinomlar ax² + bx + c şeklinde ifade edilir ve bu fonksiyonların grafiğine parabol adı verilir.","Parabolün grafiği ya kolları yukarı doğru ya da kolları aşağı doğru olabilir.","Parabolün kollarının yönü, x² teriminin katsayısı (a) değerine bağlıdır."]},"beginTime":150,"endTime":313,"href":"/video/preview/15039170168708833838?parent-reqid=1769618249914759-17148175007665452499-balancer-l7leveler-kubr-yp-vla-71-BAL&text=Parabola+Guide&t=150&ask_summarization=1"},{"index":3,"title":"Parabol Örneği","list":{"type":"unordered","items":["Fonksiyonun grafiği bir parabol belirttiğine göre, fonksiyon ikinci dereceden olmalıdır.","Parabolde en fazla x² terimi bulunabilir, üçüncü dereceden terim olamaz.","Verilen örnekte f(2) değeri hesaplanarak cevap 12 olarak bulunmuştur."]},"beginTime":313,"endTime":390,"href":"/video/preview/15039170168708833838?parent-reqid=1769618249914759-17148175007665452499-balancer-l7leveler-kubr-yp-vla-71-BAL&text=Parabola+Guide&t=313&ask_summarization=1"},{"index":4,"title":"Parabolde Noktayı Sağlatma","list":{"type":"unordered","items":["Parabolde bir noktanın üzerinde olmasının mantığı, x yerine noktanın x koordinatını, y yerine de y koordinatını (f(x)) yazarak denklemi sağlatmaktır.","Noktayı parabolde sağlatma işlemi, noktayı fonksiyonda yerine koyma olarak da adlandırılır.","Örnek olarak, (-1,5) noktasından geçen parabolde katsayı k=7 olarak bulunmuştur."]},"beginTime":402,"endTime":526,"href":"/video/preview/15039170168708833838?parent-reqid=1769618249914759-17148175007665452499-balancer-l7leveler-kubr-yp-vla-71-BAL&text=Parabola+Guide&t=402&ask_summarization=1"},{"index":5,"title":"İki Noktadan Geçen Parabol","list":{"type":"unordered","items":["İki noktadan geçen parabolde, her iki noktayı da fonksiyonda sağlayarak iki bilinmeyenli iki denklem kurulabilir.","Örnek olarak, (2,7) ve (4,15) noktalarından geçen parabolde katsayılar m=-2 ve n=7 olarak bulunmuştur.","f(m+n) sorusu için f(5) değeri hesaplanarak 22 olarak bulunmuştur."]},"beginTime":526,"endTime":705,"href":"/video/preview/15039170168708833838?parent-reqid=1769618249914759-17148175007665452499-balancer-l7leveler-kubr-yp-vla-71-BAL&text=Parabola+Guide&t=526&ask_summarization=1"},{"index":6,"title":"Parabolün Kollarının Yönü","list":{"type":"unordered","items":["Parabolün kolları, x² katsayısının (a) işaretiyle belirlenir: a>0 ise kollar yukarı, a\u003c0 ise kollar aşağı doğrudur.","a=0 olduğunda fonksiyon doğrusal olur ve parabol olmaz.","Parabolün tanımında a≠0 koşulu vardır çünkü a sıfır olamaz."]},"beginTime":705,"endTime":844,"href":"/video/preview/15039170168708833838?parent-reqid=1769618249914759-17148175007665452499-balancer-l7leveler-kubr-yp-vla-71-BAL&text=Parabola+Guide&t=705&ask_summarization=1"},{"index":7,"title":"Parabol Kollarının Açılımı","list":{"type":"unordered","items":["Kolları yukarı doğru olan parabolde, kollar en açık olanın x² katsayısı en küçüktür.","Kolları yukarı doğru olan parabolde, kollar en dar olanın x² katsayısı en büyüktür.","Bu özellik, parabollerin polinom fonksiyonlar olduğu için baş katsayı kavramıyla açıklanabilir."]},"beginTime":844,"endTime":1037,"href":"/video/preview/15039170168708833838?parent-reqid=1769618249914759-17148175007665452499-balancer-l7leveler-kubr-yp-vla-71-BAL&text=Parabola+Guide&t=844&ask_summarization=1"},{"index":8,"title":"Parabol Konusunun Devamı ve Öneriler","list":{"type":"unordered","items":["Parabolün fonksiyon tarafında hem grafik hem de fonksiyon arasındaki ilişkiyi görmüş olacağız.","İkinci dereceden denklemler, 10. sınıftaki denklemler, polinomlar ve çarpanlara ayırma konularına değinilecek.","10. sınıf konularının önemli olduğu, 11. sınıfta tekrar karşımıza çıkacağı belirtiliyor."]},"beginTime":1041,"endTime":1071,"href":"/video/preview/15039170168708833838?parent-reqid=1769618249914759-17148175007665452499-balancer-l7leveler-kubr-yp-vla-71-BAL&text=Parabola+Guide&t=1041&ask_summarization=1"},{"index":9,"title":"Öğrencilere Yönlendirmeler","list":{"type":"unordered","items":["İki örnek ve üç örnek olarak belirtilen güzel soruların tekrar edilmesi ve kendi başlarına çözülebilir hale getirilmesi öneriliyor.","Videonun üzerinde yeterli vakit ayırmak ve iki soruyu kendi başlarına yapabilmek gerektiği vurgulanıyor.","İkinci videoya geçilmesi isteniyor ve vedalaşma 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