Question

Write an equation for the translation of y=∣x∣ 16.5 units right. Find the value of x. If necessary, round to the nearest tenth.

A..y=∣x−16.5∣
B.y=∣x+16.5∣
C.y=∣x∣
D.y=∣x+1.65∣

Answer 1

The correct equation for translating y=|x| by 16.5 units right is y=|x-16.5|. The question about finding the value of x is not well-defined without additional context.

Step-by-step explanation:

The question involves translating the function y=|x| horizontally. A translation to the right by 16.5 units means we subtract 16.5 from the x-variable inside the absolute value. The correct translation equation is y=|x-16.5|. Statements about finding the value of x are unclear in this context, as the equation y=|x-16.5| defines a relationship between x and y, rather than a specific value for x.