The Vertex of a Parabola Occurs Where the Derivative of Its

question 213

Multiple Choice

The vertex of a parabola occurs where the derivative of its equation is 0, so an equation associated with the equation of a
parabola can be solved to find the x-coordinate of the vertex. Find the vertex of the parabola, given the equation of the
parabola and its associated equation.
-Equation of parabola: $f ( x ) = - \left( 7 + 8 x + 3 x ^ { 2 } \right)$ ; associated equation: $0 = - 8 - 6 x$

• A) \(\left( - \frac { 4 } { 3 } , \frac { 37 } { 3 } \right)\)
• B) \(\left( - \frac { 4 } { 3 } , \frac { 10 } { 3 } \right)\)
• C) \(\left( - \frac { 4 } { 3 } , - \frac { 5 } { 3 } \right)\)
• D) \(\left( - \frac { 4 } { 3 } , - 46 \right)\)

---

Definitions:

Collectivist Culture

Culture that emphasizes the importance of belonging to a larger group, such as a family, tribe, or nation.

Self-Esteem

An individual's overall subjective evaluation of their own worth or value.

Different Culture

Refers to the unique characteristics, behaviors, beliefs, and ways of life of a group of people that distinguish them from other groups.

Cognitive Approach

A psychological perspective that focuses on how people think, understand, and know about the world.