Find an Equation for the Conic Whose Graph Is Shown $\frac { x ^ { 2 } } { 9 } + \frac { ( y - 2 ) ^ { 2 } } { 4 } = 1$

question 4

Multiple Choice

Find an equation for the conic whose graph is shown.

• A) \(\frac { x ^ { 2 } } { 9 } + \frac { ( y - 2 ) ^ { 2 } } { 4 } = 1\)
• B) \(\frac { ( x + 2 ) ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 4 } = 1\)
• C) \(\frac { ( x - 2 ) ^ { 2 } } { 9 } + \frac { ( y - 2 ) ^ { 2 } } { 4 } = 1\)
• D) \(\frac { ( x - 2 ) ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 4 } = 1\)
• E) \(\frac { ( x - 2 ) ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 9 } = 1\)

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Definitions:

Anecdotal Evidence

Evidence based on personal accounts or stories rather than hard data or research, often considered less reliable.

Conclusions

The judgments or decisions reached after considering all the relevant facts and evidence.

Scientific Method

A systematic approach to research where a problem is identified, relevant data is gathered, a hypothesis is formulated from these data, and the hypothesis is empirically tested.

Confirmation Biases

A cognitive bias that involves favoring information that confirms pre-existing beliefs or hypotheses.