SOLUTION: Using transformation to graph a rational function Explain how to use the graph of f(x)=1/x^2 to sketch the graph of g(x)=-1/(x-3)^2-9. Give the coordinates of the points on the gr

Algebra ->  Rational-functions -> SOLUTION: Using transformation to graph a rational function Explain how to use the graph of f(x)=1/x^2 to sketch the graph of g(x)=-1/(x-3)^2-9. Give the coordinates of the points on the gr      Log On


   

Question 517378: Using transformation to graph a rational function
Explain how to use the graph of f(x)=1/x^2 to sketch the graph of g(x)=-1/(x-3)^2-9. Give the coordinates of the points on the graph of g that are found by transforming the points (-1,1) and (1,1) from the graph of f.
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Using transformation to graph a rational function
Explain how to use the graph of f(x)=1/x^2 to sketch the graph of g(x)=-1/(x-3)^2-9. Give the coordinates of the points on the graph of g that are found by transforming the points (-1,1) and (1,1) from the graph of f.
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To sketch the graph of g from f, move the entire f curve 3 units to the right then drop it vertically 9 units. By this transformation, coordinates (-1,1) and (1,1) of f become (2,-8) and (4,-8) respectively in g.