Question

Determine a coordenada do vértice da função:
f(x) = x2 + 3x - 2

Answer 1

Explicação passo-a-passo:

$x_V=\dfrac{-b}{2a}$

$x_V=\dfrac{-3}{2\cdot1}$

$\boxed{x_V=\dfrac{-3}{2}}$

$\Delta=3^2-4\cdot1\cdot(-2)$

$\Delta=9+8$

$\Delta=17$

$y_V=\dfrac{-\Delta}{4a}$

$y_V=\dfrac{-17}{4\cdot1}$

$\boxed{y_V=\dfrac{-17}{4}}$

Logo, $V(\frac{-3}{2},\frac{-17}{4})$