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

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.