Question

Does the equation x² - 4x + y² = -3 intersect the y-axis?

A) Yes, because the center is on the y-axis
B) No, because the center is a (2,0) and the radius is 1.
C) No, because the circle is entirely in the first quadrant.
D) Yes, because the center is at (-2,0) and the radius is 3.

Answer 1

Explanation:

Step 1: Graph the equation

If you look at the graphed equation, it is a circle located at (2, 0) and it has a radius of 1. Therefore, it never touches the y-axis. The best answer for this question would be option B.

Answer: Option B