Find an Equation in Standard Form for the Hyperbola That $( 4 , - 5 )$

question 144

Multiple Choice

Find an equation in standard form for the hyperbola that satisfies the given conditions.
-Center $( 4 , - 5 )$ , focus $( 11 , - 5 )$ , vertex $( 7 , - 5 )$

• A) \(\frac { ( x - 4 ) ^ { 2 } } { 9 } - \frac { ( y + 5 ) ^ { 2 } } { 49 } = 1\)
• B) \(\frac { ( x - 4 ) ^ { 2 } } { 9 } - \frac { ( y + 5 ) ^ { 2 } } { 40 } = 1\)
• C) \(\frac { ( x + 4 ) ^ { 2 } } { 9 } - \frac { ( y + 5 ) ^ { 2 } } { 40 } = 1\)
• D) \(\frac { ( x - 4 ) ^ { 2 } } { 40 } - \frac { ( y + 5 ) ^ { 2 } } { 9 } = 1\)

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Definitions:

Lateral Malleolus

The bony prominence on the outer side of the ankle, formed by the lower end of the fibula.

Medial View

Refers to viewing the body or a body part from the direction of the midline, emphasizing anatomical features located close to the center of the body.

Posterior View

A visual perspective of the back side of the body or an anatomical structure.

Soft Tissue

Soft tissue refers to tissues in the body that connect, support, or surround other structures and organs, including muscles, tendons, ligaments, fat, and more.