Question

Find the equation of the axis of symmetry of the following parabola using graphing technology.
y, equals, x, squared, minus, 8, x, plus, 22
y=x
2
−8x+22
Answer
Attempt 1 out of 2

Answer 1

The axis of symmetry is x = -b/(2a). Here a = 1, b = -8, so x = 8/2 = 4.

(Completing the square: y = x^2 - 8x + 22 = (x - 4)^2 + 6, vertex (4,6), axis x = 4.)