The vertex (the only vertex) of the graph y = |2x-7| - c is there where 2x - 7 = 0, i.e. at x == . See the figure below.
Figure. Plot of y = |2x-7| - 1 |
This is a piece-wise function, with standard form being:, where (h, k) is the vertex
RETRACTION!
The coefficient of x in the piece-wise function is > 1, so to get the equation of the piece-wise function, the equation becomes:.
Therefore, the vertex, or (h, k) is at the coordinate point:, which places the vertex in the 4th quadrant where h or the
x-coordinate is > 0, and k, or the y-coordinate is < 0