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.
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).
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