How many y-intercepts does the graph of the parabola x = y^2 - 4y - 1 have?
2 y-intercepts
https://www.desmos.com/calculator/buaqjswt7y
This is because the equation forms an ellipse, and is in the ellipse form.
You're close, CU......this actually is a parabola that opens to the right
We can find the y intercepts by setting x = 0 and solving
y^2 - 4y - 1 = 0
y^2 - 4y = 1 complete the square on y
y^2 - 4y + 4 = 1 + 4
(y - 2)^2 = 5 take both roots
y - 2 = ±√5
y = 2 ±√5
So.....there are two y intercepts as shown by CU's graph....!!!!