SOLUTION: explain how the graph g is obtained from the graph of f. f(x) = |x| ; g(x) = 2 |x| + 3

Algebra ->  Functions -> SOLUTION: explain how the graph g is obtained from the graph of f. f(x) = |x| ; g(x) = 2 |x| + 3      Log On


   

Question 1166615: explain how the graph g is obtained from the graph of f.
f(x) = |x| ; g(x) = 2 |x| + 3
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
It is shifted up three units and it is compressed by a factor of 2, or in the second, the value is doubled and 3 is added to it.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cabs%28x%29%2C2%2Aabs%28x%29%2B3%29

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

If to use a correct terminology, it is stretched with coefficient 2 vertically, along the y-axis, and shifted 3 units up.