Uncover the Vertex: Parabola Described by y=(x+8)²-9

Find the vertex of the parabola

$y=(x+8)^2-9$

To solve for the vertex of the parabola, we need to recognize that the equation $y = (x+8)^2 - 9$ is already in vertex form, which is $y = (x-h)^2 + k$.

Let's break down the given equation:

• Rewrite the given equation: $y = (x+8)^2 - 9$.
  This matches the vertex form $y = (x - h)^2 + k$.
• Identify values: Here, $h = -8$ and $k = -9$.

Thus, the vertex is located at the point $(-8, -9)$.

Comparing with the multiple-choice options provided:

• Choice 1: $(-8, 9)$ - Incorrect $k$.
• Choice 2: $(8, -9)$ - Incorrect $h$.
• Choice 3: $(8, 9)$ - Incorrect both $h$ and $k$.
• Choice 4: $(-8, -9)$ - Correct.

Therefore, the vertex of the parabola is $(-8, -9)$.