SOLUTION: I have a question that states: a) use the transformations on the graph of y=x^2 to determine the graph of y=(x+5)^2-9. b) using the graph of f(x)=x^2 as a guide, graph the func

Algebra ->  Graphs -> SOLUTION: I have a question that states: a) use the transformations on the graph of y=x^2 to determine the graph of y=(x+5)^2-9. b) using the graph of f(x)=x^2 as a guide, graph the func      Log On


   

Question 85097: I have a question that states:
a) use the transformations on the graph of y=x^2 to determine the graph of y=(x+5)^2-9.
b) using the graph of f(x)=x^2 as a guide, graph the function g(x)=(x+4)^2+2
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a) use the transformations on the graph of y=x^2 to determine the graph of y=(x+5)^2-9.
b) using the graph of f(x)=x^2 as a guide, graph the function g(x)=(x+4)^2+2
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Sketch the graph of y=x^2
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2%29
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a) The (x+5) in place of x shifts the y=x^2 five units to the left.
the -9 moves the resulting graph nine units down.
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28x%2B5%29%5E2-9%29
b) The (x+4) in place of x shifts the y=x^2 four units to the left.
the +2 moves the resulting graph two units up.
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28x%2B4%29%5E2%2B2%29
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Cheers,
Stan H.