Write an equation for a function that has a graph with the g

Write an equation for a function that has a graph with the given characteristics. The shape of y = |x|, but shifted right 6 units and down 2 units. Which of the following is the equation of the graph of the function? A. y = |k - 6| + 2 B. y = |x + 6| - 2 C. y = |x + 6| + 2 D. y = |x - 6| - 2

Solution

The Equation of the graph will be

y = |x-6|-2

because horizontal translation is 6 units and vertical translation is 2 units downward ( negative sign)

Option D is Correct