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QuizMultiple Choice

Conic Sections: Parabolas

Question 2 • TX-Algebra II A-CR

A parabola opens to the left. Which could be the equation of the parabola?

Answer
A
(x – 4)2 = 4(y + 3)
B
(x – 4)2 = –4(y + 3)
C
(y – 4)2 = 4(x + 3)
D
(y – 4)2 = –4(x + 3)

Explanation

A parabola that opens left or right has the form (y − k)² = 4p(x − h). It opens left when 4p is negative, so the coefficient on the right side must be negative. Choice D, (y − 4)² = −4(x + 3), has that form and a negative coefficient.

AI-written and checked against the verified answer.

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