Question

quadratic vertex form vs. standard form
what is the vertex of this quadratic function?
\\y = 2(x - 6)^2 - 4\\
\\((?, \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

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

Compare the given function

Using the Vertex Form of a Quadratic knowledge point

$$
LATEXBLOCK0
$$

Extract the vertex coordinates

Using the Parabola Vertex Identification knowledge point

$$
LATEXBLOCK1
$$

Answer:

What is the vertex of this quadratic function?
\(y = 2(x - 6)^2 - 4\)
(<blank>6</blank>, <blank>-4</blank>)