Final answer:
The equation y = x² - 2x - 8 has a quadratic term x², a linear term -2x, and a constant term -8. The quadratic formula can be used to find its solutions.
Step-by-step explanation:
The quadratic equation given is y = x² - 2x - 8. In this equation, the quadratic term is x², the linear term is -2x, and the constant term is -8. The quadratic term represents the part of the equation with the variable raised to the second power, the linear term is the part with the variable raised to the first power, and the constant term is the part without any variables.
To find the solutions for a quadratic equation of the form at² + bt + c = 0, you can use the quadratic formula, which is given by:
x = (-b ± √(b² - 4ac)) / (2a), where a, b, and c are coefficients corresponding to the quadratic, linear, and constant terms respectively.
The quadratic equation y = x²-2x-8 can be rewritten in the standard form ax² + bx + c = 0, where a, b, and c are the coefficients of the quadratic, linear, and constant terms respectively. So, for this equation, the quadratic term is x², the linear term is -2x, and the constant term is -8.