Question

Determine o vértice da parábola y = 2x2 - 4x 5

Answer 1

$y=2 x^{2} -4x+5\\\\ a=2;b=-4;c=5\\\\\\ x= \frac{-(-4)}{2*2}\to x= \frac{4}{4} \to x=1 \\\\\\ \Delta=b^2-4ac\to \Delta=(-4)^2-4*2*5\to \Delta=16-40\to \Delta=-24 \\\\\\ y \frac{- \Delta}{4a} \to y= \frac{-(-24)}{4*2} \to y= \frac{24}{8} \to y=3\\\\\\\\ V= \left \{ 1;3 \left \}$

Espero ter ajudado...