The equation shown in the graph can be written as:
y = -(x - 1)³ + 2
Which is the equation in the graph?
We can see a cubic equastion that has been inverted over the horizontal axis, and that has a critical point at (1, 2)
So,if the parent function is:
y = x³
We reflect it:
y = -x³
We translate it one unit to the right and 2 units up, then we get:
y = -(x - 1)³ + 2
This is the function shown in the graph.