Question

Select the correct answer from each drop-down menu.
Consider the function f(x) = 2x + 6 and the graph of the function g shown below.

The graph of g is the graph off translated (1,4,5 or 6) units (left, right, up, or down)
and g(x) =

Answer 1

Answer:

Translated 5 units right

g(x) = 2x - 4

Step-by-step explanation:

The original equation had a y-int of 6, but g(x) has a y-int of -4. Moving the line 5 units to the right will move the y-int down 10 units due to the positive slope of 2, so the translation is 5 units right.

The line shown still has a slope of 2 and a y-intercept of -4, so using the equation y = mx + b, g(x) = 2x - 4.

Answer 2

Answer: The graph of g is the graph of f translated 5 units right, and g(x) = f(x - 5).

Step-by-step explanation: