Question

The shape of y = xl, but shifted left 8 units and up 6 units.Which of the following is the equation of the function?O A. y = |x-81-6OB. y = |x+81 +6O C. y = |x+81-6OD. y = |x-81 +6

Answer 1

The given equation is

$y=|x|$

The transformation is shifted left 8 units and up 6 units.

Remember that a leftwards movement requires an addition to the x-variable. An upwards movement requires a sum to the whole function. Following these two rules, we have

$y=|x-8|+6$

Therefore, the right answer is D.