**8/16/2014
**For
what value(s) of K will the parabola y^{2}
– 6y + x + K = 0 have exactly 1 y-intercept? Find the
intercept.For what value(s) of K will the parabola y^{2}
– 6y + x + K = 0 have exactly 1 y-intercept? Find the
intercept.

**Scroll
down for the solution.**

**8/16/2014
**Solution.
At the y-intercept(s), *x*
= 0 so that: y^{2}
– 6y + K = 0.

For the
parabola to have exactly 1 y-intercept: *b*^{2}
– 4*ac* = 0 =>
36 – 4K = 0.

Therefore,
**K = 9**.

At K = 9,
the y-intercept is: y^{2}
– 6y + 9 = 0 => (y – 3)^{2}
= 0 =>
**y
= 3**