Find the Domain y=-(x-h)^2-k

Problem

y=−(x−h)2−k

Solution

1. Identify the type of function given. The expression y=−(x−h)2−k is a quadratic function in vertex form.

2. Determine if there are any restrictions on the input variable x Quadratic functions are polynomials.

3. Check for operations that limit the domain, such as division by zero or taking the square root of a negative number. Since there are no denominators or radicals involving x there are no restrictions.

4. Conclude that the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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