Question

Determine a função correspondente aos gráficos

Answer 1

a)

$x = 0 \\ y = 5 \\ \\ c = 5 \\ \\ x = 6 \\ y = 5 \\ \\ x = 3 \\ y = -4 \\ \\ {ax}^{2} + bx + 5 = y \\ 36a + 6b + 5 = 5 \\ 36a + 6b = 0 \\ \\ 6a + b = 0 \\ b = -6a \\ 9a + 3b + 5 = -4 \\ 9a + 3 (-6a) + 5 = -4 \\ -9a = -9 \\ \\ a = 1 \\ b = -6 \\ \\ {x}^{2} - 6x + 5 = y$

b)

$x = 2 \\ y = 0 \\ \\ x = 4 \\ y = 0 \\ \\ (x - 2)(x - 4) = y \\ {x}^{2} - 6x + 8 = y$