The line x = k intersects the graph of the parabola x = -y^2 - 3y - 5 at exactly one point. What is k?
k = 27/5.
x = -y^2 - 3y - 5 is a sideways parabola that opens to the left
to intersect at only one point, the line x = k must intersect at the vertex
arrange the equation to vertex form to find the vertex at -2.75 , -1.5 x = - 2.75