Find the Vertex of the Parabola $$h ( x ) = \frac { 1 } { 2 } x ^ { 2 } - 4 x - \frac { 7 } { 2 }$$

question 12

Multiple Choice

Find the vertex of the parabola.
- $$h ( x ) = \frac { 1 } { 2 } x ^ { 2 } - 4 x - \frac { 7 } { 2 }$$

• A) \(\left( - 4 , \frac { 41 } { 2 } \right)\)
• B) \(\left( 2 , - \frac { 19 } { 2 } \right)\)
• C) \(\left( 4 , - \frac { 23 } { 2 } \right)\)
• D) \(\left( 4 , \frac { 13 } { 2 } \right)\)

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Definitions:

Carrier Molecules

Molecules that facilitate the transport of substances across a cell membrane, including ions, sugars, and small molecules, by undergoing a change in shape.

Active Transport

The movement of a substance across a cell membrane from an area of low concentration to an area of high concentration.

Passive Mechanisms

Processes that occur without the input of energy, such as osmosis or diffusion, often in biological contexts.

Nucleic Acids

Biological molecules essential for life, including DNA and RNA, that carry genetic information in cells.