Final answer:
The equation y = x²-2x+3 has a quadratic term of x², a linear term of -2x, and a constant term of 3. The quadratic, linear, and constant terms correspond to the coefficients a=1, b=-2, and c=3 respectively.
Step-by-step explanation:
The equation y = x²-2x+3 is a quadratic equation, which is typically written in the form ax² + bx + c. In this equation:
The equation y = x²-2x+3 has a quadratic term of x², a linear term of -2x, and a constant term of 3. The quadratic, linear, and constant terms correspond to the coefficients a=1, b=-2, and c=3 respectively.
The quadratic formula, which is used to find solutions to a quadratic equation of the form ax² + bx + c = 0, is given by x = (-b ± √(b² - 4ac)) / (2a). For this particular equation, the term a would be 1, b would be -2, and c would be 3 if you were to apply the quadratic formula.