Question

The function f is given in three equivalent forms. Which form most quickly reveals the vertex?

Answer 1

Answer:

Option B is the correct option.

Step-by-step explanation:

We know that the vertex form of a quadratic's equation is generally expressed as

y = a(x - h)² + k

where (h, k) is called the vertex of the quadratic function

In our case, given the function

$f\left(x\right)=-\frac{1}{2}\left(x+3\right)^2+\frac{25}{2}$

now comparing the equation with y = a(x - h)² + k

Here:

h = -3

k = 25/2

Therefore, the vertex of the function $f\left(x\right)=-\frac{1}{2}\left(x+3\right)^2+\frac{25}{2}$ is:

(h, k) = (-3, 25/2)

Thus,

The  $f\left(x\right)=-\frac{1}{2}\left(x+3\right)^2+\frac{25}{2}$  form most quickly reveals the vertex.

Hence, option B is the correct option.