Final answer:
The quadratic term is -x², the linear term is -2x, and the constant term is -4 in the equation y = -x²-2x-4. These terms correspond to a quadratic, linear, and constant part of a quadratic equation, respectively.
Step-by-step explanation:
In the quadratic equation y = -x²-2x-4, the terms can be classified as follows:
- The quadratic term is -x². It is quadratic because it includes a variable raised to the second power (x squared).
- The linear term is -2x. This term is linear because it includes a variable raised to the first power.
- The constant term is -4. A constant term does not have any variables and is a fixed number.
When solving a quadratic equation using the quadratic formula, the equation should be in the form ax² + bx + c = 0, where a, b, and c represent the coefficients and constant term, respectively.
The given equation is y = -x² - 2x - 4.
In this equation, the quadratic term is -x², as it is the term with the highest power of x.
The linear term is -2x, as it is the term with the first power of x.
The constant term is -4, as it does not have any x variables.