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djyliett [7]
3 years ago
6

List the four types of variation​

Mathematics
2 answers:
TEA [102]3 years ago
4 0
Direct,inverse, joint
grigory [225]3 years ago
3 0
Examples of types of variation include direct, inverse, joint, and combined variation.
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Answer:

The required equation is f(x)=\frac{1}{x+3}-2.

Step-by-step explanation:

The parent function of a rational function is

g(x)=\frac{1}{x}

The transformation is defined by the function

f(x)=\frac{1}{x+a}+b

Where, a represents the horizontal shift and b represents the vertical shift.

If a>0, then graph of parent function will shift left side and if a<0, then graph of parent function will shift right side.

If b>0, then graph of parent function will shift upward and if b<0, then graph of parent function will shift downward side.

Since the graph of parent function shifts 3 units left and 2 units down. Therefore the value of a is 3 and the value of b is -2.

The new function is

f(x)=\frac{1}{x+3}-2

Therefore the required equation is f(x)=\frac{1}{x+3}-2.

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