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) \(\left( - \frac { 4 } { 3 } , - 46 \right)\)

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Definitions:

Spermatozoa

Male reproductive cells, or sperm, responsible for fertilizing the female ovum.

Cryptorchidism

A condition where one or both of the testes fail to descend from the abdomen into the scrotum in male infants.

Balanitis

Inflammation of the head (glans) of the penis, often due to infection.

Glans Penis

The sensitive bulbous structure at the distal end of the penis.