Question

Determine if the following point lies on the graph of the equation (y = |x – 1| + 2).

A. No
B. Yes
C. Cannot be determined from the given information
D. None of the above

(2, 3)

Answer 1

By substituting the x-value of the point (2, 3) into the equation y = |x – 1| + 2, we find that the y-value matches, confirming that the point does indeed lie on the graph.

Step-by-step explanation:

To determine if the point (2, 3) lies on the graph of the equation y = |x – 1| + 2, we need to substitute the x-value of the point into the equation and see if the y-value of the point is the result.

Substitute x = 2 into the equation:

y = |2 - 1| + 2

y = |1| + 2

y = 1 + 2

y = 3

The y-value we found by substituting into the equation is 3, which matches the y-value of the point (2, 3). Therefore, the point (2, 3) does lie on the graph of the equation y = |x – 1| + 2.

The correct answer is B. Yes.