A Quadratic Function Is Given $f ( x ) = - 3 x ^ { 2 } + 12 x - 11$

question 12

Essay

A quadratic function is given.
(a) Express the quadratic function in standard form.
(b) Find its vertex and its x- and y-intercept(s).
$f ( x ) = - 3 x ^ { 2 } + 12 x - 11$

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Definitions:

Cognitive Dissonance

A psychological phenomenon where an individual experiences discomfort from holding two or more contradictory beliefs, ideas, or values at the same time.

Ethical Principles

are the foundational guidelines that dictate the conduct of individuals and organizations, outlining what is deemed right or wrong.

Emotional Contagion

The phenomenon where emotions can be transferred from one person to another, influencing the feelings and behaviors of individuals within a group.

Dissonance

A psychological state of tension that occurs when an individual holds two or more contradictory beliefs, attitudes, or values at the same time.