SOLUTION: Given that f(x)=│x│, describe (or draw)how the following transformations change f(x). 1. g(x)=-│x│ 2. h(x)= │x+3│ 3. j(x)= │x&#94

Algebra ->  Functions -> SOLUTION: Given that f(x)=│x│, describe (or draw)how the following transformations change f(x). 1. g(x)=-│x│ 2. h(x)= │x+3│ 3. j(x)= │x&#94      Log On


   



Question 62652: Given that f(x)=│x│, describe (or draw)how the following transformations change f(x).
1. g(x)=-│x│
2. h(x)= │x+3│
3. j(x)= │x│+3

Found 2 solutions by stanbon, funmath:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given that f(x)=│x│, describe (or draw)how the following transformations change f(x).
1. g(x)=-│x│
Reflects f in the y-axis
2. h(x)= │x+3│
Shift f 3units to the left
3. j(x)= │x│+3
Raised f 3 units.
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Cheers,
Stan H.

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
g(x)=|x| looks like:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cabs%28x%29%29
g(x)=-|x| is reflected about the x axis and looks like:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-1%2Aabs%28x%29%29
g(x)=|x+3| shifts horizontally to the left 3 units:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cabs%28x%2B3%29%29
g(x)=|x|+3 shifts vertically 3 units up:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cabs%28x%29%2B3%29
Happy Calculating!!!