SOLUTION: not sure of the appropriate topic for shifting: given f(x)=x^2-8 shift f(x)2 units to the right I got h(x)=f(x-c)=(x-2)^2-8 shift f(x)2 units down

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Question 33824: not sure of the appropriate topic for shifting:
given f(x)=x^2-8
shift f(x)2 units to the right I got h(x)=f(x-c)=(x-2)^2-8
shift f(x)2 units down I got h(x)=x^2+(-8-2)=x^2-6
shift f(x)2 units right and 2 units down I got h(x)=(x-2)^2+(-8-2)
Am I correct?
Answer by ice_water35(8) About Me  (Show Source):
You can put this solution on YOUR website!
>>>>>This is correct:
shift f(x)2 units to the right I got h(x)=f(x-c)=(x-2)^2-8
shift f(x)2 units down I got h(x)=x^2+(-8-2)=x^2-6
-in this case, your solution is correct but your final answer is wrong because -8 - 2 is -10. So, your solution and answer must be like this:
I got h(x)=x^2+(-8-2)=x^2-10
shift f(x)2 units right and 2 units down I got h(x)=(x-2)^2+(-8-2)
-in this case, your answer is not the final answer. we may simplify this, so that your answer must be like this:
I got h(x)=(x-2)^2-10
I change some signs in your questions.
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