Question

Determine as coordenadas do vértice da função f(x) = -x² + 5x - 1


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Answer 1

f(x) = -x² + 5x - 1

a = -1

b = 5

c = -1

Δ = b² - 4ac = 5² - 4 · (-1) · (-1) = 25 - 4 = 21

Xv = -b/(2a) = -5/(-2) = 5/2

Yv = -Δ/(4a) = -21/(-4) = 21/4

V = (5/2, 21/4)