Question

Encontre o x do vértice da parábola f(x) = – x² + 4x – 3.

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{f(x) = -x^2 + 4x - 3}$

$\mathsf{\Delta = b^2 - 4.a.c}$

$\mathsf{\Delta = (4)^2 - 4.(-1).(-3)}$

$\mathsf{\Delta = 16 - 12}$

$\mathsf{\Delta = 4}$

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

$\boxed{\boxed{\mathsf{y_V = 1}}}$

$\mathsf{x_V = -\dfrac{b}{2a} = \dfrac{-4}{-2}}$

$\boxed{\boxed{\mathsf{x_V = 2}}}$