which form most quickly reveals the vertex?
choose 1 answer:
a. g(x)=-2x^2-16x-14
b. g(x)=-2(x+4)^2+18
c. g(x)=-2(x+1)(x+7)

what is the vertex?
vertext= (___,___)

Respuesta :

Answer:

The most quickly reveals the vertex is g(x) = -2(x + 4)² + 18 ⇒ b

The vertex = (-4, 18)

Step-by-step explanation:

The vertex form of the quadratic function f(x) is:

f(x) = a(x - h)² + k, where

  • a is the coefficient of x²
  • (h, k) are the coordinates of the vertex point

The most quickly reveals to find the vertex is the vertex form above

Look at the answer and try to find a similar form to the vertex form above

∵ g(x) = -2(x + 4)² + 18

∴ a = -2

∴ h = -4

∴ k = 18

⇒ That means this form is similar to the form above

The most quickly reveals the vertex is g(x) = -2(x + 4)² + 18

The vertex = (-4, 18)