A statement that describes changes to the graph of w(x), when applying the transformation w(x - 19) is: C. A point (r , s) on the graph w(x) moves to (r+19, s).
In Mathematics and Geometry, the translation of a graph to the right means a digit would be added to the numerical value on the x-coordinate of the pre-image:
g(x) = f(x - N)
Conversely, the translation of a graph to the left means a digit would be subtracted from the numerical value on the x-coordinate of the pre-image:
g(x) = f(x + N)
In this context, we can logically deduce that the graph of the function w(x) would be horizontally shifted to the right by 19 units, in order to produce the graph of the transformed function;
(x, y) → (x + 19, y)
(r, s) → (r + 19, s).
Complete Question:
Which describes changes to the graph of w(x), when applying the transformation w(x-19)
A. A point (r,s) on the graph of w(x) moves to (r-19,s)
B. A point (r,s) on the graph W(x) moves to ( r, s-19)
C. A point (r , s) on the graph w(x) moves to (r+19, s)
D. A point (r,s) on the graph of w(x) moves to (r,s+19)