Question

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:

Answer 1

- 2, - 1

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