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8090 [49]
3 years ago
12

(3, -2), y=x + 4 i need help to find the parallel equation. please explain how you got the answer so i know how to solve.

Mathematics
1 answer:
GarryVolchara [31]3 years ago
3 0
I hope this helps you

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Picture attached with question
Mariana [72]

The function is stretched vertically by a factor of 3.

The function shifts 2 to the right.

The function is moved 5 units up.

Explanation:

The parent function of the graph is f(x)=\sqrt{x}

The transformation for the parent function is given by g(x)=3\sqrt{x-2} +5

Thus, the transformed function is in the form of y=a\sqrt{x-h} +k

where a is the vertical compression/stretch,

h moves graph to left or right and

k moves the graph up or down.

Thus, from the transformed function g(x)=3\sqrt{x-2} +5, we have,

a=3, h=2 , k=5

The attached graph below shows the transformation of the graph that the graph is stretched vertically by a factor of 3 and shifted 2 units to the right and moved 5 units up.

Hence, The function is stretched vertically by a factor of 3.

The function shifts 2 to the right.

The function is moved 5 units up.

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