The calculated equation of the graphed function is y = -2(x + 1)² + 8
How to determine the equation of the graphed function
From the question, we have the following parameters that can be used in our computation:
The graph
Where, we have
Vertex, (h, k) = (-1, 8)
The equation of the function is represented as
y = a(x - h)² + k
This can be expressed as
y = a(x + 1)² + 8
Using the points on the graph, we have
a(1 + 1)² + 8 = 0
4a= -8
a = -2
This gives
y = -2(x + 1)² + 8
Hence, the equation of the graphed function is y = -2(x + 1)² + 8