SOLUTION: The graph of f(x) is obtained by translating the graph of g(x) = |x| 5 units down. Which is the equation of the graph of f(x)? (Points : 3) f(x) = |x| - 1 f(x)

Algebra ->  Test -> SOLUTION: The graph of f(x) is obtained by translating the graph of g(x) = |x| 5 units down. Which is the equation of the graph of f(x)? (Points : 3) f(x) = |x| - 1 f(x)       Log On


   

Question 576347: The graph of f(x) is obtained by translating the graph of g(x) = |x| 5 units down. Which is the equation of the graph of f(x)?
(Points : 3)
f(x) = |x| - 1
f(x) = |x| + 5
(My Choice)f(x) = |x + 5|
f(x) = |x| - 5
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Sorry. Wrong choice.
If y (considered up if positive) has to be 5 units less, y=f(x)=g(x)-5
graph%28300%2C300%2C-8%2C2%2C-8%2C2%2C+abs%28x%2B4.95%29%2C+abs%28x%29-5.05%2Cabs%28x%29%29 g%28x%29=abs%28x%29 (blue) turns the corner at (0,0), f%28x%29=abs%28x%29-5 (green) has its corner at (0,-5) and is the right answer.
f%28x%29=abs%28x%2B5%29 is the red line that bends at x=-5, y=0, (-5,0). It is moved 5 units left.