SOLUTION: Sketch using transformations: f(x) = -2|x+2|. Start with the basic graph and show all stages. I know that there are supposed to be four graphs, but otherwise I'm stuck. Help!

Algebra ->  Algebra  -> Graphs -> SOLUTION: Sketch using transformations: f(x) = -2|x+2|. Start with the basic graph and show all stages. I know that there are supposed to be four graphs, but otherwise I'm stuck. Help!      Log On

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Question 64944: Sketch using transformations: f(x) = -2|x+2|. Start with the basic graph and show all stages. I know that there are supposed to be four graphs, but otherwise I'm stuck. Help!
Found 2 solutions by 303795, funmath:
Answer by 303795(562) About Me  (Show Source):
You can put this solution on YOUR website!
y=x
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+x%29+
y=x+2
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+x%2B2%29+
y=|x+2|
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+abs%28x%2B2%29%29+
y=-2|x+2|
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-2%2Aabs%28x%2B2%29%29+

Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
Sketch using transformations: f(x) = -2|x+2|. Start with the basic graph and show all stages.
f(x)=|x| looks like:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cabs%28x%29%29
f(x)=|x+2| causes a horizontal shift left two units:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cabs%28x%2B2%29%29
f(x)=2|x+2| causes a vertical stretch of a factor of 2:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C2%2Aabs%28x%2B2%29%29
f(x)=-2|x+2| causes a reflection about the x-axis:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-2%2Aabs%28x%2B2%29%29
Happy Calculating!!!