$$\text { How can the graph of } f ( x ) = \frac { 6 } { x + 14 } \text { be obtained from the graph of } y = \frac { 1 } { x } \text { ? }$$

question 278

Multiple Choice

$$\text { How can the graph of } f ( x ) = \frac { 6 } { x + 14 } \text { be obtained from the graph of } y = \frac { 1 } { x } \text { ? }$$

• A) By making a horizontal shift of 6 units to the right and a vertical shift of 14 units down
• B) By making a horizontal shift of 14 units to the left and stretching vertically by a factor of 6
• C) By making a horizontal shift of 14 units to the left and a vertical shift of 6 units up
• D) By making a horizontal shift of 14 units to the right and stretching vertically by a factor of 6

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Definitions:

Dimethyl Ether

A colorless gas used as a propellant, refrigerant, and solvent, composed of two methyl groups bonded to an oxygen atom.

3-Ethylfuran

A heterocyclic organic compound with the formula C6H8O, featuring a furan ring with an ethyl substituent.

4,4-Dimethylpyran

A six-membered oxygen-containing heterocycle with two methyl groups attached to the fourth carbon.

Ethers

A class of organic compounds containing an oxygen atom connected to two alkyl or aryl groups.