Answer:
Equation would be y = (x + 3)² - 1.
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.