Answer:
[tex]y = (x +1)^2 - 1[/tex]
Step-by-step explanation:
Given
[tex]Vertex = (-1,-1)[/tex]
Required
Determine the equation
The equation of a graph from a vertex is:
[tex]y = a(x - h)^2 + k[/tex]
Where
[tex]a = 1[/tex]
[tex](h,k) = (-1,-1)[/tex]
Substitute these values in [tex]y = a(x - h)^2 + k[/tex]
[tex]y = 1(x - (-1))^2 + (-1)[/tex]
Express -(-1) as 1
[tex]y = 1(x +1)^2 + (-1)[/tex]
Express +(-1) as -1
[tex]y = 1(x +1)^2 - 1[/tex]
[tex]y = (x +1)^2 - 1[/tex]
Hence, the equation is:
[tex]y = (x +1)^2 - 1[/tex]
