Final answer:
The equation of the axis of symmetry of the parabola y = x² - 14x + 47 is x = 7.
Step-by-step explanation:
The equation of the axis of symmetry of a parabola in the form y = ax² + bx + c is given by the formula x = -b/2a.
In this case, the equation of the parabola is y = x² - 14x + 47. To find the equation of the axis of symmetry, we can substitute the values of a and b into the formula.
x = -(-14)/(2*1)
x = 14/2 = 7.
Therefore, the equation of the axis of symmetry is x = 7.