The given equation is y = -x^3 + 3x - 1.

To graph this equation, we can create a table of values by substituting different x-values and calculating the corresponding y-values.

Let's choose some x-values and calculate the corresponding y-values:

For x = -2:
y = -(-2)^3 + 3(-2) - 1
y = -(-8) - 6 - 1
y = 8 - 6 - 1
y = 1

For x = -1:
y = -(-1)^3 + 3(-1) - 1
y = -(-1) - 3 - 1
y = 1 - 3 - 1
y = -3

For x = 0:
y = -(0)^3 + 3(0) - 1
y = 0 - 0 - 1
y = -1

For x = 1:
y = -(1)^3 + 3(1) - 1
y = -1 + 3 - 1
y = 1

For x = 2:
y = -(2)^3 + 3(2) - 1
y = -8 + 6 - 1
y = -3

Now, we can plot these points on a graph and connect them to form a curve.

The graph of the equation y = -x^3 + 3x - 1 is a curve that passes through the points (-2, 1), (-1, -3), (0, -1), (1, 1), and (2, -3).