Answer:
The equation for g(x) after a horizontal translation 3 units to the right of f(x) is 2x-11.
Step-by-step explanation:
If y = f(x), then y = f(x-h) gives a horizontal translation which results in a graph that is equivalent to shifting the base graph left or right in the direction of the x-axis.
Given linear function f(x) = 2x−5
g(x) represent f(x) after a horizontal translation 3 units to the right that is
g(x) = 2(x-3)-5
g(x) = 2x-6-5
g(x)= 2x-11
The graph plot below shows the horizontal translation of the function f(x) 3 units to the right.
Thus, the equation for g(x) after a horizontal translation 3 units to the right of f(x) is 2x-11.
