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Answered

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 |

Answer :

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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.

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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.

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