Locate the Vertex of the Parabola: y = (x + 7)² + 15

Find the vertex of the parabola

$y=(x+7)^2+15$

To solve the problem, we follow these steps:

• Step 1: Recognize the form of the equation. The equation is given as $y = (x+7)^2 + 15$, which is in vertex form.
• Step 2: Identify the vertex from the equation. The vertex form of a parabola is $y = (x-h)^2 + k$, where the vertex is $(h, k)$.
• Step 3: Determine the values of $h$ and $k$. Here, $(x+7)$ means that $h = -7$ (notice the sign change), and the constant $+15$ is $k = 15$.

By recognizing the form of the equation and substituting the values, the vertex of the parabola is $(-7, 15)$.