Question

calcule as cordenadas dos vértices das parábolas que representam as seguintes funções:
a) F(X) = X² + 2X
B) F(X) = X² -2X + 3
c) F(X) = X²
d) F(X) = -X² + 1

Answer 1

$f(x)=x^2+2x$

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

$x_v=\dfrac{-2}{2}=-1$

$y_v=(-1)^2+2(-1)=1-2=-1$

b) $f(x)=x^2-2x+3$

$x_v=\dfrac{-(-2)}{2}=1$

$y_v=1^2-2(1)+3=1-2+3=2$

c) $f(x)=x^2$

$x_v=\dfrac{-0}{2}=0$

$y_v=0^2=0$

d) $f(x)=-x^2+1$

$x_v=\dfrac{-0}{2(-1)}=0$

$y_v=-0^2+1=1$