Final answer:
To find the zero of the quadratic function, one can use the quadratic formula with the correct coefficients. However, the equation provided does not seem to match the points given. The student should verify the original equation to apply the quadratic formula effectively.
Step-by-step explanation:
The student's question is about finding the zero of a quadratic equation, which is a common problem in algebra. In this case, based on the information given in the question, there seems to be a confusion in the equation provided. However, assuming the equation given in the text, y = -x² + 4x - 2, a quadratic equation and the student wants to find the x-values where y equals zero, the quadratic formula can be used to find the zeros of the function.
The quadratic formula is √x² + bx + c = 0, where a, b, and c are coefficients. The solutions to the equation are given by x = [-b ± sqrt(b² - 4ac)]/(2a). Using the values from the question, we find the values of x where y equals zero. The student may need to revise the given equation as neither (-x²) nor the points provided correspond accurately to any quadratic equation. The quadratic formula is a reliable method to find the zeros of a quadratic equation, which represent the points where the graph of the equation intersects the x-axis.