If f(x) = square root of x , what modifications do we do to obtain g(x)? G(x) = 2- square root of x+3?

2015-07-01 4:54 pm
A) none of these answers
B) horizontal translation of 3 units to the left, vertical translation of 2 units upward and reflection about the x -axis
C) horizontal translation of 3 units to the left, vertical translation of 2 units upward
D) horizontal translation of 3 units to the left, vertical translation of 2 units upward, reflection about the y-axis
E) horizontal translation of 3 units to the right, verticsl translation of 2 units upward and reflection about the x-axis
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I would go with none of these answers, based on what I know about a,b,h,k. Then again, i'm hesitant between A and B ...
Please help. Thanks. I don't even need a long explanation. Just the answer.

回答 (2)

2015-07-01 5:05 pm
✔ 最佳答案
Write that as:

g(x) = -f(x+3) + 2 = f(x - (-3))*(-1) + 2

In order, that:
-- translates left by 3
-- reflects about the x-axis
-- translates up 2

So (B) lists all of the correct operations, but not in the right order. I'd answer (A) and be prepared to have it marked wrong. I'd also be prepared to defend (A) vigorously, if that question affected my grade in any way.
2015-07-01 4:56 pm
What are a,b,h, and k?


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