Question

Write an equation that represents a vertical translation 7 units down of the graph g(x)=|x|

Answer 1

Answer:

f(x) = |x| - 7

Step-by-step explanation:

The given equation is g(x) = |x|......... (1)

The vertical translation by 7 units down will not change the value of x, the only change will be in the value of g(x).  

The vertical translation by 7 units down will change the value of g(x) by [g(x) + 7] in the left-hand side of the equation (1).

Therefore, the equation will become g(x) + 7 = |x|

⇒ g(x) = |x| - 7.

Otherwise we can represent the function as some other name say f(x).

So, f(x) = |x| - 7. (Answer)