Question

If you apply the changes below to the absolute value parent function, f(x) = Ixl,what is the equation of the new function?Shift 4 units left.. Shift 2 units up.O A. g(x) = \x+2] +4OB. g(x) = x +41 + 2OC. g(x)= x + 21 - 4OD. g(x)=Ix-41 + 2

Answer 1

Step-by-step explanation

In function notation, to shift a function left, add inside the function's argument: f(x + b) shifts f(x) b units to the left. Shifting to the right works the same way, f(x - b) shifts f(x) b units to the right.

To translate the function up and down, you simply add or subtract numbers from the whole function. If you add a positive number (or subtract a negative number), you translate the function up. If you subtract a positive number (or add a negative number), you translate the function down.

So for the given question

For the given question

`f(x)=|x|`

So for the first one, when the parent function is shifted 4 units to the left, we will have

`g(x)=|x+4|`

Then the second translation of Shifting 2 units up

we will have

`g(x)=|x+4|+2`

Thus, we will have our answer as