Graph Parabolas with Vertices Not at the Origin
- $$( x + 2 ) ^ { 2 } = 8 ( y - 3 )$$

question 45

Multiple Choice

Graph Parabolas with Vertices Not at the Origin
- $$( x + 2 ) ^ { 2 } = 8 ( y - 3 )$$

• A) vertex: \(( - 2,3 )\)
• focus: \(( - 2,5 )\)
• directrix: \(y = 1\)
• B) vertex: \(( 2 , - 3 )\)
• focus: \(( 2 , - 1 )\)
• directrix: \(y = - 5\)
• C) vertex: \(( 3 , - 2 )\)
• focus: \(( 3,0 )\)
• directrix: \(y = - 4\)
• D) vertex: \(( - 2,3 )\)
• focus: \(( - 2,1 )\)
• directrix: \(x = 5\)

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Definitions:

Concrete Operational

A stage in Piaget's theory of cognitive development where children aged 7 to 11 start thinking logically about concrete events.

Preoperational

A stage in Piaget's theory of cognitive development, where children from about 2 to 7 years old engage in symbolic play but lack logical reasoning.

Preconventional

The first level in Kohlberg's theory of moral development where moral reasoning is based primarily on the consequences of actions and on the benefits to the self.

Formal Operational

A stage in Piaget's theory of cognitive development where individuals can think abstractly and systematically solve problems.