Question

Given that (5,-8) is on the graph of f(x), find the

corresponding point for the function
f(x+2).
Enter the correct answer.

Answer 1

The corresponding point is (3,-8)

Explanation:

we know that

When you add a constant value (k), to the argument of a function, the graph is shifted k units to the left.

so

In this problem

The rule of the transformation is equal to

f(x) ------> f(x+2)

(x,y) ------> (x-2,y)

(5,-8) -----> (5-2,-8)

(5,-8) -----> (3,-8)