Question
Asked Jun 14, 2019
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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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Expert Answer

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,

g(x)12-2
g(x)12 12-x2-12
g(x)12x2
-(g(x)-12)(x)
-g(x)12
f(x)x2
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g(x)12-2 g(x)12 12-x2-12 g(x)12x2 -(g(x)-12)(x) -g(x)12 f(x)x2

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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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