Solve the Problem $\frac { x ^ { 2 } } { 400 } + \frac { y ^ { 2 } } { 256 } = 1$

question 207

Multiple Choice

Solve the problem.
-The ellipse $\frac { x ^ { 2 } } { 400 } + \frac { y ^ { 2 } } { 256 } = 1$ is shifted horizontally and vertically to obtain the ellipse $\frac { ( x + 4 ) ^ { 2 } } { 400 } + \frac { ( y + 5 ) ^ { 2 } } { 256 } = 1$ Find the center and vertices of the new ellipse.

• A) Center: (-4, -5); Vertices: (-24, -5), (16, -5)
• B) Center: (-5, -4); Vertices: (-24, -5), (16, -5)
• C) Center: (-4, -5); Vertices: (-5, -24), (-5, 16)
• D) Center: (-5, -4); Vertices: (-5, -24), (-5, 16)

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Definitions:

Faith Factor

The hypothesis that religious belief and participation can positively affect mental and physical health.

Optimism

Optimism is a mental attitude characterized by hope and confidence in future outcomes or the general belief that good prevails over evil.

Pessimism

The habit of viewing things from their bleakest angle or assuming that outcomes will be the most unfavorable, reflecting an absence of hopefulness or assurance about future prospects.

Optimism

A mental attitude reflecting a belief or hope that the outcome of some specific endeavor, or outcomes in general, will be positive, favorable, and desirable.