What is the equation of the graph below

Equation would be y =  (x + 3)² - 1.

Step-by-step explanation:

Given : Parabolic graph .

To find : What is the equation of the graph below.

Solution : We have given that parabolic graph .

Vertex :  where the parabola changes direction, is called the "vertex" .

The graph opens upward, so the vertex is the minimum point of the parabola.

Vertex in given graph is ( -3 ,-1)

Vertex form of parabola : y = a(x - h)² + k ,

Where ( h , k) is vertex .

When "a" is positive, the graph of y = a(x - h)² + k opens upward and the vertex is the lowest point on the curve and vice- versa

In given graph h = -3 , k =-1 and a = positive.

Plug the values of h ,k  in vertex form

y =  (x - (-3))² - 1

y =  (x + 3)² - 1

Therefore, Equation would be y =  (x + 3)² - 1.

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