Find the Center, Vertices, and Foci of the Ellipse with the Given

question 128

Multiple Choice

Find the center, vertices, and foci of the ellipse with the given equation.
- $$\frac { ( x - 4 ) ^ { 2 } } { 64 } + \frac { ( y - 2 ) ^ { 2 } } { 100 } = 1$$

• A) Center: \(( 4,2 )\); Vertices: \(( 4 , - 8 ) , ( 4,12 )\); Foci: \(( - 6,2 ) , ( 10,2 )\)
• B) Center: \(( 4,2 )\); Vertices: \(( - 8,2 ) , ( 12,2 )\); Foci: \(( - 4,4 ) , ( 8,4 )\)
• C) Center: \(( 4,2 )\); Vertices: \(( - 8,2 ) , ( 12,2 )\); Foci: \(( 4 , - 6 ) , ( 4,10 )\)
• D) Center: \(( 4,2 )\); Vertices: \(( 4 , - 8 ) , ( 4,12 )\); Foci: \(( 4 , - 4 ) , ( 4,8 )\)

Acknowledge the role of ecological studies in predicting and managing impacts of climate change and invasive species.

Understand the impact of invasive species and strategies for their management.

Recognize and explain the natural and anthropogenic factors leading to species extinction.

Know the key concepts of restoration ecology and its role in conservation efforts.

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Definitions:

Two-sided Messages

Messages that present both the positive and negative aspects of an argument to persuade an audience more effectively.

Persuasion

The process of convincing others to change their attitudes, beliefs, or behaviors through argument, appeal, or explanation.

Ingratiation

A psychological strategy involving deliberate acts of flattery or friendliness by individuals to win over or gain favor with others.

Tactile Self-presentation

The deliberate use of physical touch or proximity in interpersonal interactions to influence one's own image.