Final answer:
In the quadratic equation y = -x²+2x+1, the quadratic term is -x², the linear term is 2x, and the constant term is 1. These correspond to the 'a', 'b', and 'c' coefficients in the quadratic formula for solving such equations.
Step-by-step explanation:
The equation y = -x²+2x+1 is a quadratic equation, which is an equation of the form ax² + bx + c = 0, where 'a' is the coefficient of the quadratic term, 'b' is the coefficient of the linear term, and 'c' is the constant term.
In this equation:
- The quadratic term is -x², where the coefficient 'a' is -1.
- The linear term is 2x, where the coefficient 'b' is 2.
- The constant term is 1, where 'c' is 1.
To solve such an equation, if necessary, one would use the quadratic formula, x = (-b ± √(b² - 4ac)) / (2a), plugging in the values of 'a', 'b', and 'c'.he quadratic term in the expression y = -x²+2x+1 is -x², the linear term is 2x, and the constant term is 1. In a quadratic equation of the form ax²+bx+c=0, the quadratic term is the term with the highest degree (x²), the linear term is the term with degree 1 (2x), and the constant term is the term with degree 0 (1).