Question

Select the correct answer. A parabola plotted between x-axis ranging from -5 to 6 and y-axis ranging from -4 to 10. The y intercept is at 6 and axis of symmetry is 2. The graph of the function f(x)= x2 − 4x + 6 is shown here. What is its axis of symmetry? A. x = 0 B. x = 2 C. x = 6 D. x = -2

Answer 1

The axis of symmetry of the quadratic function f(x) = x^2 - 4x + 6 is found using the formula x = -b/(2a). For this equation, the axis of symmetry is x = 2.

Step-by-step explanation:

The axis of symmetry for the parabola described by the quadratic equation f(x) = x^2 - 4x + 6 can be found by using the formula x = -b/(2a) for a parabola in the form ax^2 + bx + c. Here, a is the coefficient of x^2 and b is the coefficient of x. In this equation, a = 1 and b = -4, so the axis of symmetry is x = -(-4) / (2 \u00d7 1) = 2. Therefore, the correct answer is B. x = 2.