Suppose that g(x) = f(x - 5). Which statement best compares the graph of
g(x) with the graph of f(x)?
O A. The graph of g(ahots the graph of f(x) shifted 5 units to the left.
O B. The graph of g(x) is the graph of f(x). shifted 5 units down.
O
C. The graph of g(x) is the graph of f(x) shifted 5 units to the right.
O
D. The graph of g(x) is the graph of f(x) shifted 5 units up.

Every tranformation from a parent function to a child function like

results in a horizontal translation. In particular, if , the graph is translated units to the left, whereas if the graph is translated units to the right.

In your case, , so the graph is translated 5 units to the right.

d

step-by-step explanation:

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation: