Question

Write an equation for the translation of y = |x|. 6.5 units up

A. y = |x| + 6.5

B. y + 6.5 = |x|

C. y = |x| – 6.5

D. y = |6.5x|

Answer 1

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 2

Answer:

A. $y=|x|+6.5$

Step-by-step explanation:  

We have been given an absolute value function $y=|x|$. We are asked to translate the given function 6.5 units up.

Let us recall translation rules.

$f(x)\rightarrow f(x-a)=\text{Graph shifted to right by a units}$

$f(x)\rightarrow f(x+a)=\text{Graph shifted to left by a units}$

$f(x)\rightarrow f(x)+a=\text{Graph shifted upwards by a units}$

$f(x)\rightarrow f(x)-a=\text{Graph shifted downwards by a units}$

Using translation rules after translation our function would be $y=|x|+6.5$.

Therefore, option A is the correct choice.