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I don't understandDescribe in words and by using function notation

I don't understandDescribe in words and by using function notation-example-1

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f(x) = 2(x +3)^2 + 1

1. Scale f(x) by 1/2 ==> (1/2) f(x) = (x + 3)^2 + 1

2. Reflect f(x) through x axis ==> -(x+3)^2 + 1

3. Shirt f(x) to the right by 5 units ==> -(x + 3)^2 - 4

4. Shift f(x) down by 5 units ==> -(x - 2) - 4 = g(x)

I don't understandDescribe in words and by using function notation-example-1
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