Question

what is the vertex of this function?

\\f(x) = -(x + 5)^2 + 1\\

\\((?, )\\)

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

Explanation:

Identify the given function and vertex form

Using the Vertex Form of a Quadratic knowledge point

$$
LATEXBLOCK0
$$

Determine the x-coordinate of the vertex

Using the Parabola Vertex Identification knowledge point

$$
LATEXBLOCK1
$$

Determine the y-coordinate of the vertex

Using the Parabola Vertex Identification knowledge point

$$ k = 1 $$

State the vertex coordinates

Using the Parabola Vertex Identification knowledge point

$$ (h, k) = (-5, 1) $$

Answer:

What is the vertex of this function?

\(f(x) = -(x + 5)^2 + 1\)

(<blank>-5</blank>, <blank>1</blank>)