# Let g (x) = 12− x 2 , then answer the following questions:Identify the parent function:f (x) =Describe the sequence of transformation from f (x) to g (x)

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Let g (x) = 12− x 2 , then answer the following questions:

Identify the parent function:f (x) =

Describe the sequence of transformation from f (x) to g (x)

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Step 1

The parent function can be identified by removing the constants and coefficients from the given function.

Removing the constants and coefficients:

All the constants and coefficients are separated in the above equation and all that remains is x2.

Therefore, the parent function is given by,

Step 2

Transformation of f(x) to g(x) is given by:

Inverting the graph of f(x) over x-axis is given by,

Shifting the graph 12 units upwards is given by,

Therefore,...

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