Solve the Problem $f ( x ) = 5 x ^ { 2 }$

question 123

Multiple Choice

Solve the problem.
-Write an equation in standard form of the parabola that has the same shape as the graph of $f ( x ) = 5 x ^ { 2 }$ , but which has a minimum of 6 at $x = 2$ .

• A) \(f ( x ) = 5 ( x + 6 ) ^ { 2 } - 2\)
• B) \(f ( x ) = 5 ( x + 2 ) ^ { 2 } + 6\)
• C) \(f ( x ) = - 5 ( x - 2 ) ^ { 2 } + 6\)
• D) \(f ( x ) = 5 ( x - 2 ) ^ { 2 } + 6\)

---

Definitions:

Central Nervous System

The part of the nervous system consisting of the brain and spinal cord, responsible for processing information and controlling bodily functions.

Axons

Long, slender projections of nerve cells that transmit electrical impulses away from the neuron's cell body.

Dendrites

The protruding parts of a neuron that receive messages from the axons of other cells.

Synapses

Junctions between neurons where nerve impulses are transmitted or received, crucial for brain function and communication within the nervous system.