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How are the graphs of f(x)=x^2 g(x)=-(x+2)^2-4 related

User FZs
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1 Answer

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-f(x) reflects f(x) over x-axis

f(x + 2) horizontally translates f(x) 2 units to the left

f(x) - 4, vertically translates f(x) 4 units down

Then, g(x) reflects x², horizontally translates it 2 units to the left and vertically translates it 4 units down, as follows:

How are the graphs of f(x)=x^2 g(x)=-(x+2)^2-4 related-example-1
User EjLev
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