Find the Domain y=3(x-2)^2-27

Problem

y=3*(x−2)^2−27

Solution

1. Identify the type of function. The expression y=3*(x−2)^2−27 is a quadratic function, which is a specific type of polynomial function.

2. Determine if there are any restrictions. Polynomial functions do not contain square roots of negative numbers, divisions by zero, or logarithms of non-positive numbers.

3. Conclude the domain. Since there are no values of x that make the expression undefined, the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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