Respuesta :

Answer:

It’s (-9,-4)

Step-by-step explanation:

Edge

The focus of the graph of the function is located at (−9,−4).

Given that, the graph of y²+ 8y – 4x – 24 = 0 is a parabola. We need to find where is the focus located.

What is vertex form?

The vertex form of an equation is an alternate way of writing out the equation of a parabola. Normally, you'll see a quadratic equation written as ax²+bx+c, which, when graphed, will be a parabola.

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Right

Vertex: (−10, -4)

Focus: (-9, -4)

Axis of Symmetry: y=−4

Directrix: x=−11

Therefore, the focus of the graph of the function is located at (−9,−4).

To learn more about the functions visit:

https://brainly.com/question/12431044.

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