The line x = k intersects the graph of the parabola x = -2y^2 - 3y + 5 - y^2 + 9y - 11 at exactly one point. What is k?
k = 15/7
Try simplifying the original equation.
Then find the vertex because that is the only way to intersect at only 1 point.
the vertex is (-3, 1). So k=-3