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Chapter 3: Problem 12

Find the coordinates of the vertex for the parabola defined by the given quadratic function. $$f(x)=-2(x+4)^{2}-8$$

Short Answer

Expert verified
The vertex of the given parabolic function is at the coordinates (4,-8).

Step by step solution

01

Identify the Vertex Form of the Quadratic Function

The given quadratic function is \(f(x) = -2(x+4)^{2} - 8\). The quadratic function is already in the vertex form, which is \(f(x) = a(x-h)^{2} + k\).
02

Recognize the Coordinates of the Vertex

From the vertex form, the vertex of the quadratic function is at the point (h, k). In this equation, the value of h is taken as the opposite value inside the brackets, and k is the number that is outside of the bracket.
03

Calculate the Coordinates of the Vertex

Here, h is -4, and k is -8. Therefore, the vertex of the parabola is (-(-4),-8) => (4,-8).

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Most popular questions from this chapter

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In your own words, explain how to solve a variation problem.

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