Question

Which statement BEST describes the graph of f(x - 6)?

A. The graph of f(x) is shifted up 6 units.
6
B. The graph of f(x) is shifted left 6 units.
C. The graph of f(x) is shifted right 6 units.
D. The graph of f(x) is shifted down 6 units.

Answer 1

B. f(x) is shifted left by 6 units

Explanation:

when we talk about translations, we know they happen along the X axis, y axis or sometimes both, in this case we see that were subtracting x by six units, so we are moving left along the x axis

ways to remember this is:

-you count up x the RIGHT way going right

-you count UP y

and of cource by process of ellimination we know that decreasing X goes left and decreasing y goes down

ALSO NOTE: x always goes horizontally and y always goes vertically