Question

The graph of f(x) is the solid black graph below. Which function represents the
dotted graph?
4
6
y = f(2 + 1) + 4
y = f(x - 1) - 4
Submit Answer
y=f(x - 1) + 4
y = f(x + 1) - 4

Answer 1

y=f(x+1)-4

The dotted graph moved down 4 so the answer had to have -4 and the graph moved to the left 1. What is inside the () causes the graph to move either left or right. Because it moved left 1 you add 1 to x. What’s inside the parenthesis is the opposite of what happens on the graph.( when the graph moves left you add and when it goes to the right you subtract)

Answer 2

Using translation concepts, it is found that the dotted graph is given by:

f(x - 1) - 4

------------------

• For function f(x), the solid line, it has a zero at x = -1, while the dashed line has a zero at x = 0, which means that it was moved 1 unit to the right, thus f(x - 1).

• The dashed line is also below the function f(x), so 4 was subtracted, thus f(x - 1) - 4.

A similar problem is given at https://brainly.com/question/18405655