Question

The graph of g(x) = (x + 1) is a transformation of the graph of f(x) = x. Which of the following describes the transformation?

a)
translation 1 unit up

b)
translation 1 unit left

c)
translation 1 unit right

d)
translation 1 unit down

Answer 1

Options a ans b both are correct.

Explanation:

The graph of g(x) = (x + 1) is a transformation of the graph of f(x) = x.

If we examine the transformed function, then we will get, the value of g(x) is added by 1 unit for a corresponding value of x as in the original function.

So, the translation is 1 unit up.

Again, the value of x in the transformed graph is 1 unit less than the x-value of the original equation for a corresponding value of g(x).

So, the translation is 1 unit left.

Therefore, options a and b both are correct. (Answer)