Question

quadratic vertex form vs. standard form
what is the vertex of this quadratic function?
\\y = 4(x - 3)^2 - 8\\
\\((?, \quad)\\)
hint: vertex form, \\(y = a(x - h)^2 + k\\), helps us quickly identify the vertex of a quadratic.

Explanation:

Identify the given quadratic function

Using the Vertex Form of a Quadratic knowledge point

$$ y = 4(x - 3)^2 - 8 $$

Recall the standard vertex form equation

Using the Vertex Form of a Quadratic knowledge point

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

Compare parameters to find the vertex

Using the Parabola Vertex Identification knowledge point

$$
LATEXBLOCK0
$$

The vertex is \((h, k) = (3, -8)\).

Answer:

What is the vertex of this quadratic function?
\(y = 4(x - 3)^2 - 8\)
(<blank>3</blank>, <blank>-8</blank>)