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

Question

Find the vertex of the parabola

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

00:00 Find the vertex of the parabola

00:03 We'll use the formula to describe a parabolic function

00:08 The coordinates of the vertex are (P,K)

00:18 We can see that according to the formula P is negative

00:23 We'll use this formula to find the vertex point

00:29 We'll substitute appropriate values according to the given data

00:35 And this is the solution to the question

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 $(-7, 15)$ .

$(-7,15)$