If you apply the changes below to the absolute value parent function, f(x) = Ixl,
which of these is the equation of the new function?
• Shift 2 units to the left.
• Shift 3 units down.
A. g(x)= |x - 3| − 2
B. g(x)= |x+3|-2
C. g(x) = |x-2|-3
D. g(x)= |x+ 2|-3

Respuesta :

Answer:

D.) g(x) = |x + 2| - 3

Step-by-step explanation:

When you want to shift a graph to the left, you need to add a positive number directly to the "x" variable. Therefore, if you want to shift the graph 2 units to the left, you need to add 2 directly to the "x" variable (inside of the absolute value).

When you want to shift the graph downwards, you need to add a negative number to the overall function. Therefore, there should be a -3 added to the overall function to shift it 3 units down.