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Veseljchak [2.6K]
3 years ago
8

each statement below describes the transformation of the graph f(x)=x square. which statement correctly describes the graph of g

(x)=(x-7)^2 +7

Mathematics
1 answer:
Vitek1552 [10]3 years ago
8 0

Answer:

The correct option is:

The graph of g(x) is the graph of f(x) translated 7 units up and 7 units right.

Option A is correct option.

Step-by-step explanation:

The parent function is: f(x)=\sqrt{x}

The transformed function is: g(x)=\sqrt{x-7}  +7

We need to find the statement that best describes the transformed function.

We know the transformation rule:

If f(x) is transformed into f(x)+c, then the function is transformed vertically c units up.

If f(x) is transformed into f(x)-c, then the function is transformed vertically c units down.

If f(x) is transformed into f(x-c) then the function is transformed right c units.

If f(x) is transformed into f(x+c) then the function is transformed left c units.

So, In the given transformation:

The parent function is: f(x)=x^2

The transformed function is: g(x)=\sqrt{x-7}  +7

The transformed function is shifted 7 units up g(x)=\sqrt{x-7} \mathbf{ +7} and 7 units right g(x)=\sqrt{x\mathbf{-7}} +7

So, The correct option is:

The graph of g(x) is the graph of f(x) translated 7 units up and 7 units right.

Option A is correct option.

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