Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

10.
Write an equation for each translation of y= | x |.

6.5 units up
A. y + 6.5 = | x |
B. y = | x | – 6.5
C. y = | x | + 6.5
D. y = | 6.5x |


Sagot :

Answer:

C. y = | x | + 6.5

Step-by-step explanation:

than you consider the x value zero and y equal zero so this mean the origin and from this the translation 6,5 units up will mean y = IxI +6,5  

so the first choice is right sure  

A. y = IxI +6,5

Answer:

A.  

Step-by-step explanation:  

We have been given an absolute value function . We are asked to translate the given function 6.5 units up.

Let us recall translation rules.

Using translation rules after translation our function would be .

Therefore, option A is the correct choice.

The correct answer is Option C: y = | x | + 6.5.

In absolute value equations, vertical translations represented by y = | x | + d, such that:

d > 0 shifts the parent graph |d| units upward.
d < 0 shifts the parent graph |d| units downward.

Since the given problem asks for the vertical translation of y = | x | 6.5 units up, then it means that you will have to add 6.5 to the equation, according to the format: y = | x | + d.

Therefore, the correct answer is Option C: y = | x | + 6.5.