Question

O vértice do parábola y= 2x ao quadrado - 4x + 5 e o ponto

Answer 1

$y=2x^2-4x+5$

$a=2~~~~~~~~~~~~b=-4~~~~~~~~~~~~c=5$

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

$x_V=\dfrac{-(-4)}{2\cdot2}$

$x_V=\dfrac{4}{4}$

$\boxed{x_V=1}$

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

$\Delta=b^2-4\cdot a\cdot c$
$\Delta=(-4)^2-4\cdot2\cdot5$
$\Delta=16-40$
$\Delta=-24$
$-\Delta=24$

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

$y_V=\dfrac{24}{4\cdot2}$

$y_V=\dfrac{24}{8}$

$\boxed{y_V=3}$

O vértice da parábola é o ponto $V(1,3)$