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Given the function f(y) = (y + 2)^2, complete the table with the values for y and f(y).

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Final answer:

To complete the table for the function f(y) = (y + 2)², replace the values of y in the function, calculate the resulting equation to find f(y). For example, if y=-2, f(-2)=0. If y=0, f(0)=4.

Step-by-step explanation:

The function f(y) = (y + 2)² is a quadratic function. To find the values of f(y) for given values of y, you need to substitute the y-values into the function and calculate the result. For instance, if y=-2, the equation becomes f(-2) = (-2 + 2)², which simplifies to 0; that's because -2 + 2 equals 0 and 0² equals 0. If y=0, the equation becomes f(0) = (0 + 2)², which simplifies to f(0) = 4; that's because 0 + 2 equals 2, and 2² equals 4.

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