The line x = k intersects the graph of the parabola x = -y^2 - 3y - 5 at exactly one point. What is k?
+37157 The parabola is a sideways parabola....to intersect at only one point ist must intersect at the vertex
-y^2 -3y - 5 = x
y^2 + 3y+5 = -x
(y+1.5)^2 + 2.75 = -x
x = (-1)(y+1.5)^2 - 2.75
the x point of the vertex is - 2.75 x =- 2.75
