Question

Hallar la función cuadrática de este gráfico xfas ayuden me!

Answer 1

$y = ax^{2} + bx + c\\\\5 = a(0)^{2} + b(0) + c\\5 = c\\\\0 = a(-3)^{2} + b(-3) + 5\\0 = 9a - 3b + 5\\3b = 9a + 5\\b = 3a + \frac{5}{3}\\\\0 = a(9)^{2} + b(9) + 5\\0 = a(9)^{2} + (3a + \frac{5}{3})(9) + 5\\0 = 81a + 27a + 15 + 5\\0 = 108a + 20\\a = \frac{-5}{27}\\\\b = 3\frac{-5}{27} + \frac{5}{3}\\b = \frac{10}{9}\\\\y = \frac{-5}{27}x^{2} + \frac{10}{9}x + 5$