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

Problem

y=n*(x−2)2−3

Solution

1. Identify the type of function. The expression y=n*(x−2)2−3 is a quadratic function in vertex form, assuming n is a constant.

2. Determine if there are any restrictions. Quadratic functions are polynomials. Polynomials do not have denominators containing variables, square roots of negative numbers, or logarithms.

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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