Suppose that the x-intercepts of the graph of y=f (x) are 3 and 4.

Change

(a) What are the x-intercepts of the graph of y=f (x+5) ?

The x-intercepts of the graph of y=f (x + 5) are

(Use a comma to separate answers as needed.)

ne:

- 2, - 1

Step-by-step explanation:

Given f (x) then f (x + a) is a horizontal translation of f (x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

f (x + 5) represents a shift to the left of 5 units, thus

3 - 5 = - 2 and 4 - 5 = - 1

The x - intercepts of f (x + 5) are - 2 and - 1