Question

. Write the equation that is the translation of y=|x| right 7 units and down 9 units.

Answer 1

We have been given an equation of a function and we are asked to write an equation that is the translation of y=|x| right 7 units and down 9 units.

In order to answer this problem we will translate our function in two steps.

In first step we will translate our function to 7 units to the right. This means we have to shift our graph to 7 units in right direction on coordinate plane.

After shifting in right our function will be $y=|x-7|$.

Now we will shift our function 9 units down. After shifting our function 9 units downwards we will get,

$y=|x-7|-9$

Therefore, after the translation of y=|x| right 7 units and down 9 units our new function will be $y=|x-7|-9$.

Answer 2

Answer: We have been given an equation of a function and we are asked to write an equation that is the translation of y=|x| right 7 units and down 9 units.

In order to answer this problem we will translate our function in two steps.

In first step we will translate our function to 7 units to the right. This means we have to shift our graph to 7 units in right direction on coordinate plane.

After shifting in right our function will be .

Now we will shift our function 9 units down. After shifting our function 9 units downwards we will get,

Therefore, after the translation of y=|x| right 7 units and down 9 units our new function will be .

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