Question

The axis of symmetry for y=|x-5|-1

Answer 1

Answer: x = 5

Reason:

The equation is in the format of

y = a|x - h| + k

where in this case,

• a = 1
• h = 5
• k = -1

The vertex is located at (h,k) = (5,-1)

The axis of symmetry is x = 5 since it is a vertical line that passes through the vertex.

The graph is shown below. I used GeoGebra, but you can use a TI83, TI84, Desmos, or anything similar.