Answer:
Vertex: (7,-6)
Axis of symmetry: x = 7
Step-by-step explanation:
Hello!
Vertex:
When given an absolute value equation, any number that is being added or subtracted to x in the absolute value brackets is the change in x
If a number is being added, the graph moves that many units to the left of the origin.
If a number is being subtracted, the graph moves that many units to the right of the origin.
Here, we have a subtraction of 7, so our x-coordinate becomes positive 7 (7 units to the right of the origin).
When a change is being added or subtracted outside of the absolute value brackets, it's the change in y. There is no reversing of the movement, so if there is a negative change, the vertex moves down, and if there is a positive change, the vertex move sup.
Our y-coordinate is -6 because we are subtracting 6.
Our vertex is at (7,6)
Axis of Symmetry
The axis of symmetry in an absolute value function is the x-value of the vertex.
Since the axis of symmetry is a vertical line, our x-value should be 7, so ultimately our axis is x = 7
-Chetan K
