Question

Determine whether the statement is true or false. The circle (x+1)^2+(y-4)^2=4 intersects the y-axis?

Answer 1

plug in x =0 to get y co-ordinates

Answer 2

So (0+1)^2+(y-4)^2=4 gets to 1+(y-4)^2=4?

Answer 3

good
go ahead

Answer 4

Do I subtract 1 from both sides?

Answer 5

or if it is obvious to you that there will be real solutions to y,
then you can already conclude that the circle will intersect y axis as y intercepts do exist

Answer 6

yes, if you want to go further,
subtract 1 :)

Answer 7

Yeah,that's true. Thank you again!

Answer 8

welcome ^_^