Graph the Function $f ( x ) = 3 x ^ { 2 } - 12 x + 8$

question 181

Multiple Choice

Graph the function. Identify the vertex, x-intercepts, and the equation for the axis of symmetry.
- $f ( x ) = 3 x ^ { 2 } - 12 x + 8$

• A) vertex: \(( - 4,2 )\) \(\mathrm { x }\)-intercepts: none axis of symmetry: \(x = - 4\)
• B) vertex: \(( - 2 , - 4 )\) \(x\)-intercepts: \(\left( - \frac { 6 \pm 2 \sqrt { 3 } } { 3 } , 0 \right)\) axis of symmetry: \(x = - 2\)
• C) vertex: \(( 2 , - 4 )\) \(x\)-intercepts: \(\left( \frac { 6 \pm 2 \sqrt { 3 } } { 3 } , 0 \right)\) axis of symmetry: \(x = 2\)
• D) vertex: \(( - 3 , - 2 )\) \(x\)-intercepts: \(( - 3 \pm 2 \sqrt { 2 } )\) axis of symmetry: \(x = - 3\)

---

Definitions:

Income Tax

A tax levied by a government directly on individuals' or organizations' income.

Percentage Calculation

Percentage calculation involves determining the part of a whole in terms of 100, used in various financial and statistical contexts to express proportions.

Percentage Calculation

The mathematical process of determining the percentage amount or the percentage change between two numbers.

Percentage Calculation

The mathematical process of finding a portion of a number, represented as a fraction of 100.