Final answer:
To plot another point on the graph of the given equation, choose a value for x and substitute it into the equation to find the corresponding value of y. For example, if we choose x = 2, the point (2, -23/8) is on the graph.
Step-by-step explanation:
To plot another point on the graph of f(x) = (1/2)(x - 3/2)^2 - 3, we can choose a value for x and substitute it into the equation to find the corresponding value of y.
Let's choose x = 2. Plugging this into the equation, we get:
f(2) = (1/2)(2 - 3/2)^2 - 3 = (1/2)(1/2)^2 - 3 = (1/2)(1/4) - 3 = 1/8 - 3 = -23/8.
Therefore, another point on the graph is (2, -23/8).