7
QuizMultiple Choice

Conic Sections — Quiz

Question 7 • Precalculus

Which graph represents the equation open paren x minus 3 close paren squared plus y squared is equal to 16 ?

Answer
A
Image with description On a coordinate plane, a circle has a center at (negative 3, 0) and radius 4.
B
Image with description On a coordinate plane, a circle has a center at (3, 0) and radius 4.
C
Image with description On a coordinate plane, a circle has a center at (3, 0) and radius 16.
D
Image with description On a coordinate plane, a circle has a center at (negative 3, 0) and radius 16.

Explanation

A circle in standard form is (x − h)² + (y − k)² = r², so its center is (h, k) and its radius is r. Here the center is (3, 0), and the radius is √16 = 4, matching the graph with center (3, 0) and radius 4.

AI-written and checked against the verified answer.

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