Question

in the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function.

(f(x) = -2(x + 3)^2 + 4)

the vertex is . (type an ordered pair.)

Explanation:

Identify the given quadratic function

Using the Vertex Form of a Quadratic knowledge point

$$ f(x) = -2(x + 3)^2 + 4 $$

Compare with standard vertex form

Using the Vertex Form of a Quadratic knowledge point

$$
LATEXBLOCK0
$$

Determine the vertex coordinates

Using the Vertex Form of a Quadratic knowledge point

$$ \text{Vertex} = (h, k) = (-3, 4) $$

Answer:

In the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function.

\(f(x) = -2(x+3)^2 + 4\)

The vertex is <blank>\((-3, 4)\)</blank>. (Type an ordered pair.)