Find the Domain y=-2(x-1)^2-4

Problem

y=−2*(x−1)2−4

Solution

1. Identify the type of function. The given equation y=−2*(x−1)2−4 is a quadratic function in vertex form.

2. Analyze the constraints of the function. A quadratic function is a polynomial of degree 2. Polynomials do not have denominators containing variables or square roots of negative values.

3. Determine the set of possible input values. Since there are no restrictions such as division by zero or even roots of negative numbers, the variable x can be any real number.

4. State the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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