Rewrite the Equation in Standard Form $$y = - 3 x ^ { 2 } + 72 x - 441$$

question 24

Multiple Choice

Rewrite the equation in standard form. Determine whether the parabola is horizontal or vertical, the direction it opens,
and the vertex.
- $$y = - 3 x ^ { 2 } + 72 x - 441$$

• A) \(y = ( x + 12 ) ^ { 2 } - 9\)
• vertical, opens downward, vertex \(( - 12 , - 9 )\)
• B) \(y = ( x - 12 ) ^ { 2 } - 9\)
• vertical, opens upward, vertex \(( 12 , - 9 )\)
• C) \(y = ( x + 12 ) ^ { 2 } - 9\)
• vertical, opens upward, vertex \(( - 12 , - 9 )\)
• D) \(y = ( x - 12 ) ^ { 2 } - 9\)
• vertical, opens downward, vertex \(( 12 , - 9 )\)

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Definitions:

Independent Variable

A variable that is manipulated or controlled in an experiment to test its effects on the dependent variable.

Violent Films

Movies that contain scenes of physical aggression, which can have varying effects on different audiences.

Aggressive Behavior

Actions intended to harm or cause discomfort to another person.

Control Group

In experimental research, the group of subjects that does not receive the experimental treatment, serving as a baseline for comparison.