SOLUTION: describe the sequance of trnsformation from f(x)=x^2 to g. Then sketch the graph of g. verify with a graphing ulitity. g(x)=(x+4)2

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: describe the sequance of trnsformation from f(x)=x^2 to g. Then sketch the graph of g. verify with a graphing ulitity. g(x)=(x+4)2      Log On


   

Question 287990: describe the sequance of trnsformation from f(x)=x^2 to g. Then sketch the graph of g. verify with a graphing ulitity.
g(x)=(x+4)2
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
describe the sequance of trnsformation from f(x)=x^2 to g. Then sketch the graph of g. verify with a graphing ulitity.
g(x)=(x+4)^2
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f graphs as a parabola opening upward from vertex (0,0)
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Transpose f 4 units to the left and you get a parabola
opening upward from vertex(-4,0)
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The transposed parabola is g(x) = (x+4)^2
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graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2%2C%28x%2B4%29%5E2%29
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Cheers,
Stan H.