Question

Find the equation of the axis of symmetry for the parabola y = x ^2 −2x −52 .

Answer 1

x = 1

Explanation:

Recall that the axis of symmetry of a vertical parabola is given by

-b

x = ----------

2a

Here we have the equation y = x^2 − 2x −52, for which:

a = 1; b = -2; and c = -52.

The axis of symmetry of this parabola is:

-(-2)

x = ---------- = 1

2(1)