SOLUTION: Begin by graphing the standard quadratic function f(x)=x^2. Then use transformations of this graph to graph the given function. Describe the transformations in words. h(x)=-(x-

Algebra ->  Coordinate-system -> SOLUTION: Begin by graphing the standard quadratic function f(x)=x^2. Then use transformations of this graph to graph the given function. Describe the transformations in words. h(x)=-(x-      Log On


   

Question 1066812: Begin by graphing the standard quadratic function f(x)=x^2. Then use transformations of this graph to graph the given function. Describe the transformations in words.
h(x)=-(x-2)^2-4
Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
h is moved two units to the right and four units down from f.

The function h(x)
graph%28300%2C300%2C-6%2C6%2C-8%2C2%2C%28x-2%29%5E2-4%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Begin by graphing the standard quadratic function f(x)=x^2. Then use transformations of this graph to graph the given function. Describe the transformations in words.
h(x)=-(x-2)^2-4
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Start:: y = x^2
1st move:: Shift 2 to the right to get: y = (x-2)^2-4
2nd move:: Vertical up 8 to get:: y = (x-2)^2+4
3rd move:: Reflect in x-axis to get:: h(x) = -(x-2)^2-4
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Cheers,
Stan H.
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