Question

If you apply the changes below to the absolute value parent function, f(x) = |x|, what is the equation of the new function?Shift 4 units to the right.Shift 6 units up.

A. g(x) = |x – 4| + 6

B. g(x) = |x – 6| + 4

C. g(x) = |x + 6| + 4

D. g(x) = |x + 4| + 6

Answer 1

The correct answer is A. Hope this helps!

Answer 2

g(x) = |x – 4| + 6

Explanation:

To answer this question properly, we need to understand that this is a translation. A Geometric Transformation that relocates, in this case the graph of this function.

We need to that independent terms exert a role in translation.

At first, when it comes to absolute value or modulus function, negative values inside the bracket will turn to its opposite.

1) To shift 4 units to the right

Then all that's left in order to translate it is a) and d) for the independent terms value inside the bracket will translate it to the left or to the right.

2) To shift 6 units up.

To finish that movement the value outside the bracket its plus 6

Then

g(x)=|x-4|+6