Question

3) Com o auxílio da tabela, construa o gráfico da funçao f (x)=-x^2+4.

x y=-x ^2+4 (x,y)
−3
−2
−1
0
1
2
3

Answer 1

Explicação passo-a-passo:

f(-3) = -1.(-3)² + 0. (-3) + 4 = -1.9 + 0 + 4 = -5 (-3, -5)

f(-2) = -1.(-2)² + 0. (-2) + 4 = -1.4 + 0 + 4 = 0 (-2, 0)

f(-1) = -1.(-1)² + 0. (-1) + 4 = -1.1 + 0 + 4 = 3 (-1, 3)

f(0) = -1.(0)² + 0.0 + 4 = -1.0 + 0 + 4 = 4 (0, 4)

f(1) = -1.(1)² + 0.1 + 4 = -1.1 + 0 + 4 = 3 (1, 3)

f(2) = -1.(2)² + 0.2 + 4 = -1.4 + 0 + 4 = 0 (2, 0)

f(3) = -1.(3)² + 0.3 + 4 = -1.9 + 0 + 4 = -5 (3, -5)