SOLUTION: Let the graph of g be a horizontal shrink by a factor of 2/3, followed by a translation 5 units left and 2 units down of the graph of f(x)=x^2. Write a rule for g. g(x)=?

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Let the graph of g be a horizontal shrink by a factor of 2/3, followed by a translation 5 units left and 2 units down of the graph of f(x)=x^2. Write a rule for g. g(x)=?       Log On


   

Question 1049822: Let the graph of g be a horizontal shrink by a factor of 2/3, followed by a translation 5 units left and 2 units down of the graph of f(x)=x^2. Write a rule for g.
g(x)=?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let the graph of g be a horizontal shrink by a factor of 2/3, followed by a translation 5 units left and 2 units down of the graph of f(x)=x^2. Write a rule for g.
g(x)=?
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f(x) = x^2
horizontal shrink by factor of 2/3
f(x) = (2/3)x^2
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translation 5 units left
f(x) = (2/3)(x+5)^2
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2 units down::
g(x) = (2/3)(x+5)^2 - 2
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Cheers
Stan H.
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