What do #h# and #k# represent with respect to a hyperbola? Precalculus Geometry of a Hyperbola Identify Critical Points 1 Answer AJ Speller Sep 28, 2014 #(h,k)->(x,y)# represents the center of the hyperbola, ellipse, and circle. #(h,k)->(x,y)# represents the vertex of the parabola. Answer link Related questions What are the critical points of a hyperbola? What are the foci of a hyperbola? What do #a# and #b# represent in the equation of a hyperbola? What is the transverse axis of a hyperbola? How do I determine whether a hyperbola opens horizontally or vertically? How do I determine the asymptotes of a hyperbola? What is meant by the eccentricity of a hyperbola? How do you find the center and vertex for #9x^2-16y^2+18x+160y-247=0#? How do you find the center and vertex for #-x^2 + y^2 – 2x – 2y – 9 = 0#? How do you find the center and vertex for #9x^2 – y^2 – 36x + 4y + 23 = 0#? See all questions in Identify Critical Points Impact of this question 4608 views around the world You can reuse this answer Creative Commons License