49.1k views
2 votes
Does the equation x2 - 4x + y2 = -3 intersect the y-axis?

User ElKamina
by
5.6k points

1 Answer

5 votes
No. The y-intercept is the value of y when x=0, hence it intersects the y-axis when x=0. In this case:

0^2-4(0)+y^2=-3

y^2=-3

y=√-3

Since there is no real square root of a negative value, the curve does not intersect the y-axis
User Aaafly
by
6.4k points