Question

what is the vertex of this function?

\\f(x) = (x - 2)^2 - 7\\

(?, )

hint: vertex form, \\(y = a(x - h)^2 + k\\), helps us quickly identify the vertex of a quadratic.

Explanation:

Identify vertex form

Using the Vertex Form of a Quadratic knowledge point

$$ f(x) = a(x - h)^2 + k $$

Compare functions

Using the Vertex Form of a Quadratic knowledge point

$$
LATEXBLOCK0
$$

Determine the vertex

Using the Parabola Vertex Identification knowledge point

$$ \text{Vertex} = (h, k) = (2, -7) $$

Answer:

What is the vertex of this function?

\(f(x) = (x - 2)^2 - 7\)

(<blank>2</blank>, <blank>-7</blank>)