Question

Which of the sketches presented in the list of options is a reasonable graph of y = |x − 1|?

Answer 1

Step-by-step explanation

The parent function is y = |x|. The vertex of this function is at the origin.

When we add/subtract a constant from the variable, x, we have a horizontal translation, so the answer must be one of the first two options.

Since the constant is being subtracted from the variable, the translation is to the right. Hence, the graph of the function is the one with the vertex at (1, 0).