The vertex and the axis of symmetry of the absolute value function are, respectively: Vertex: (x, y) = (7, 4), Axis of symmetry: x = 7
How to determine the vertex and the axis of symmetry of an absolute value function
In this problem we need to determine the vertex and the axis of symmetry of an absolute value function of the form:
f(x) = a · |x - b| + c, where a, b, c are real coefficients.
The vertex is located where |x - b| = 0, whose coordinates are (x, y) = (b, c) and the equation of the axis of symmetry is x = b. Then, if we know b = 7 and c = 4, then the vertex coordinates and the axis of symmetry are, respectively:
Vertex:
(x, y) = (7, 4)
Axis of symmetry:
x = 7