Question

How will the input of f(x + 11) affect the graph of f(x) = x? Explain. The graph of f(x) = x will shift to the right 11 units because positive 11 is being added to x. The graph of f(x) = x will shift to the right 11 units because positive 11 is being subtracted from x. The graph of f(x) = x will shift to the left 11 units because negative 11 is being added to x. The graph of f(x) = x will shift to the left 11 units because negative 11 is being subtracted from x.

Answer 1

The graph of f(x) = x will shift to the left 11 units because negative 11 is being subtracted from x.

Answer 2

Option d is right

Explanation:

Given that f(x) = xis transformed into f(x) = x+11

This is a horizontal shift of x by 11 units to the left.

This is because for original graph origin is the x intercept. For new function

x intercept = -11

The correct option is one which includes

i) shifted to left by 11 units

ii) From x negative -11 is subtracted

So option d is right