Final answer:
The quadratic term of the equation y = -x² + 4x + 1 is -x², the linear term is 4x, and the constant term is 1. To solve such equations, one typically uses the quadratic formula.
Step-by-step explanation:
The quadratic equation given is y = -x² + 4x + 1. In this equation, the quadratic term is -x², the linear term is 4x, and the constant term is 1. To solve a quadratic equation of the form at² + bt + c = 0, you can use the quadratic formula, which is x = (-b ± √(b² - 4ac)) / (2a), where a, b, and c are the coefficients of the quadratic term, linear term, and constant term respectively.
The quadratic term in the equation y = -x²+4x+1 is -x². It is the term that contains x raised to the highest power, which is 2 in this case.
The linear term is 4x. It is the term that contains x raised to the first power or is the coefficient of x.
The constant term is 1. It is the term that does not contain any x and is not raised to any power.