Question

quadratic vertex form vs. standard form
what is the vertex of this quadratic function?
\\y = 5(x + 4)^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 given parameters to vertex form

Using the Parabola Vertex Identification knowledge point

$$
LATEXBLOCK0
$$

State the vertex coordinates

Using the Parabola Vertex Identification knowledge point

$$ (h, k) = (-4, 2) $$

Answer:

What is the vertex of this quadratic function?
\(y = 5(x + 4)^2 + 2\)
(<blank>-4</blank>, <blank>2</blank>)