Question

Determine as coordenadas do vertice da parabola f(x) = x² - 4x + 2

Answer 1

Resposta:

Xv = 2 e Yv = -2

Explicação passo-a-passo:

Xv =

$\frac{ - b}{2a}$

Yv =

$- \frac{∆}{4a}$

∆ =

${b}^{2} - 4ac$

Coeficientes: a = 1, b = -4 e c = 2

Xv =

$\frac{ - ( - 4)}{2 \times 1}$

$\frac{4}{2}$

Xv =

$2$

∆ =

$( - 4) ^{2} - 4 \times 1 \times 2$

$16 - 8$

∆ =

$8$

Yv =

$- \frac{8}{4 \times 1}$

$- \frac{8}{4}$

Yv =

$- 2$