12
QuizMultiple Choice

Performing Operations with Complex Numbers — Unit test

Question 12 • MO-Algebra II A-CR

Which graph is represented by the equation (x + 3)2 + (y – 4)2 = 9?

Answer
A
On a coordinate plane, a circle has center (negative 3, 4) and radius 3.
B
On a coordinate plane, a circle has center (3, negative 4) and radius 9.
C
On a coordinate plane, a circle has center (3, negative 4) and radius 3.
D
On a coordinate plane, a circle has center (negative 3, 4) and radius 9.

Explanation

A circle’s equation in standard form is (x − h)² + (y − k)² = r², where its center is (h, k) and its radius is r. Here, (x + 3)² = (x − (−3))² and (y − 4)², so the center is (−3, 4). Since r² = 9, the radius is 3. Therefore, the graph is a circle centered at (−3, 4) with radius 3.

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