Question

quadratic vertex form vs. standard form

what is the vertex of this quadratic function?

\\y = 2(x + 5)^2 - 2\\

\\((?, \quad)\\)

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

Explanation:

Identify the vertex form equation

Using the Vertex Form of a Quadratic knowledge point

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

Match the given function parameters

Using the Vertex Form of a Quadratic and Parabola Vertex Identification knowledge points

$$
LATEXBLOCK0
$$

State the vertex coordinates

Using the Parabola Vertex Identification knowledge point

$$ (h, k) = (-5, -2) $$

Answer:

What is the vertex of this quadratic function?
\(y = 2(x + 5)^2 - 2\)
(<blank>-5</blank>, <blank>-2</blank>)