Question

What are the h & k values of y = |x - 1|?

a) h = 1 and k = 0
b) h = -1 and k = 0
c) h = 0 and k = 1
d) h = 0 and k = -1

Answer 1

The values for h and k of the absolute value function y = |x - 1| are h=1 and k=0, representing a horizontal shift of 1 and no vertical shift. a) h = 1 and k = 0 is correct answer.

Step-by-step explanation:

The question involves finding the values of h and k for the given absolute value function y = |x - 1|. In general, the equation of an absolute value function is written as y = |x - h| + k, where (h, k) is the vertex of the graph of the function.

Here, h represents the horizontal shift, and k represents the vertical shift of the graph from the origin.

Comparing the given function y = |x - 1| to the general form, we can see that there is a horizontal shift of 1 to the right. This implies that h equals 1.

There is no vertical shift, indicating that k equals 0. Therefore, the correct answer to the question is a) h = 1 and k = 0.