Ayuda por favor : (F(x) = - 2 x2 + 20x - 43calcula la vertice (h, k)luego k = c - ah2calculo de las raícesx = raiz - k / a + h?

Hola !

F(x) = - 2x² + 20x - 43

En donde :

a = - 2

b = 20

c = - 43

Vertice : (h ; k)

<img src="https://tex.z-dn.net/?f=h%3D%20%5Cfrac%7B-b%7D%7B2a%7D%20" />

<img src="https://tex.z-dn.net/?f=h%3D%20%5Cfrac%7B-%2820%29%7D%7B2%28-2%29%7D%20" />

<img src="https://tex.z-dn.net/?f=h%3D%20%5Cfrac%7B-20%7D%7B-4%7D%20" />

<img src="https://tex.z-dn.net/?f=h%3D5" />

Entonces :

f(k) = - 2(h)² + 20(h) - 43

f(k) = - 2(5)² + 20(5) - 43

f(k) = - 2(25) + 100 - 43

f(k) = - 50 + 100 - 43

f(k) = 50 - 43

f(k) = 7

Respuesta : V = (5 ; 7).