Question

Describe the transformation from the graph of f(x)=x+8 to the graph of g(x)=x-3

A.) the graph g(x) =x-3 is the result of translating the graph of f(x) = x+8 down 11units.
B.) the graph g(x = x-3 is the result of translating the graph of f(x) =x+8 up 11units.
C.) the graph g(x)= x-3 is the result of translating the graph of f(x)=x+8 down 5 units
D.) The graph g(x)=x-3 is the result of translating the graph of f(x) =x+8 up 5 units.

Answer 1

A.)

Explanation:

Translations are as follows: Up is + on Y axis, down is - on Y axis. Right is + on X axis and left is - on X axis.

The function f(x) = x+8 is translated to (0,8) since their is no number in a bracket with x (example: f(x)= (x-2)+5 would be (2,5) since the X axis is taken as the opposite sign).

g(x) = x-3 translates to (0,-3) which is 11 units down from f(x)