Question

Write a function g whose graph is a translation 2 units to the left of the graph of f (x) = |x| - 5

Answer 1

A function is g(x) = |x+2| - 5 whose graph is a translation 2 units to the left of the graph of f (x) = |x| - 5.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given function f(x) = |x| - 5 after transaltion of the graph by 2 units left will become g(x) = |x+2| - 5.

The graph of the function is attached with the answer below. In which both functions are graphed.

Therefore, afunction is g(x) = |x+2| - 5 whose graph is a translation 2 units to the left of the graph of f (x) = |x| - 5.

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