Write the Function in Vertex Form and Determine the Range $$f ( x ) = - 3 x ^ { 2 } + 18 x - 33$$

question 78

Multiple Choice

Write the function in vertex form and determine the range.
- $$f ( x ) = - 3 x ^ { 2 } + 18 x - 33$$

• A) \(f ( x ) = - 3 ( x - 3 ) ^ { 2 } - 6\)
• Range: \(( - \infty , - 6 ]\)
• B) \(f ( x ) = - 3 ( x + 3 ) ^ { 2 } - 6\)
• Range: \(( - \infty , - 6 ]\)
• C) \(f ( x ) = - 3 ( x + 3 ) ^ { 2 } - 6\)
• Range: \([ 3 , \infty )\)
• D) \(f ( x ) = - 3 ( x - 3 ) ^ { 2 } - 6\)
• Range: \([ 3 , \infty )\)

---

Definitions:

Transcranial Magnetic Stimulation

A noninvasive procedure that uses magnetic fields to stimulate nerve cells in the brain to improve symptoms of certain mental health conditions.

Brain Activity

The electrical and chemical processes occurring within the brain that enable thinking, feeling, and coordination of sensory and motor functions.

Pons

A hindbrain structure above the medulla; it regulates sleep and arousal and coordinates movements of the left and right sides of the body.

Hindbrain

Hindbrain is a part of the brain that includes structures like the cerebellum and the brainstem, which are responsible for basic life functions and coordination.