The Vertex of a Parabola Occurs Where the Derivative of Its

question 197

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.
-Between $x = - 5$ and $x = 10$ , the largest value of the expression $y = x ^ { 3 } - 6 x ^ { 2 } - 63 x - 13$ occurs where $3 x ^ { 2 } - 12 x - 63 = 0$ . Of the values of $x$ that satisfy $3 x ^ { 2 } - 12 x - 63 = 0$ , which gives the maximum value of $y = x ^ { 3 } - 6 x ^ { 2 } - 63 x - 13 ?$

• A) \(x = 13\)
• B) \(x = - 3\)
• C) \(x = 7\)
• D) \(x = - 5\)

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Definitions:

Optic Nerve

The optic nerve is a crucial part of the eye and the visual system, responsible for transmitting visual information from the retina to the brain.

Bipolar Cells

Type of neuron in the retina that serves as an intermediate layer between photoreceptors and ganglion cells, playing a role in visual processing.

Ganglion Cells

Neurons located in the retina of the eye that receive visual information from photoreceptors and transmit it to the brain.

Optic Nerve

A brain nerve that carries visual data from the retina into the brain.