191k views
0 votes
Which of the following describes graphing y≥∣x−4∣?

a) Translate y=∣x∣ right 4 units and shade inside ∪

b) Translate y=∣x∣ down 4 units and shade inside ∪

c) Translate y=∣x∣ left 4 units and shade inside ∪

d) Translate y=∣x∣ right 4 units and shade inside ∩

User Mark PM
by
8.9k points

1 Answer

4 votes

Final answer:

The correct description is option d) Translate y=∣x∣ right 4 units and shade inside ∩.

Step-by-step explanation:

The correct description of graphing y ≥ ∣x−4∣ is option d) Translate y=∣x∣ right 4 units and shade inside ∩.

First, let's understand the graph of y = ∣x∣. It is a V-shaped graph that intersects the x-axis at (0, 0) and has the same value for y whether x is positive or negative.

To graph y = ∣x−4∣, we translate y = ∣x∣ 4 units to the right. This means that the graph will intersect the x-axis at (4, 0), and the V-shape will be centered at x = 4.

Finally, the inequality y ≥ ∣x−4∣ means that we need to shade the area above or on the graph. The symbol ∩ represents shading inside, so option d) is the correct choice.

User Mylescc
by
7.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.