Question

calcular o valor maximo da funçao y= -x-²4x+4

Answer 1

y= -x² - 4x + 4

a= -1
b= -4
c= 4

calculamos usando a formula

$Yv= \frac{-\Delta}{4a} \\ \\ \Delta=b^2-4ac \\ \Delta=(-4)^2-4(-1)(4) \\ \Delta=14+16 \\ \Delta=32 \\ \\ Yv= \frac{-32}{4(-1)} \\ \\ Yv= \frac{-32}{-4} \\ \\ Yv=8$