Question

Identify the line of symmetry for the function below:
g(x) = |x +9|- 11

Answer 1

I think x equals --9

Answer 2

x = -9

Explanation:

As this is an absolute value function, the line of symmetry is the x-value of the maximum/minimum point. An absolute value function can be denoted as y = |x - h| + k, where (h, k) is the maximum/minimum point. We only need the x-value of the maximum/minimum point, so we only have to look at "h". Now, we can use y = |x - h| + k and turn it into g(x):

y = |x - h| + k

g(x) = |x - -9| + -11 --> this means h = -9, and the line of symmetry is at x = -9

g(x) = |x + 9| - 11