# Identify Critical Points

### Topic Page

Identify Critical Points### Questions

- What are the critical points of a hyperbola?
- What are the foci of a hyperbola?
- What do #h# and #k# represent with respect to 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#?
- How do you find the vertex, focus, and directrix of a hyperbola # (y-2)^2 - (x^2)/4 = 1#?
- How do you find the center, vertices, foci and asymptote of #2x^2-3y^2=6#?
- How do you find the center, vertices, foci and asymptotes of #-4x^2 +25y^2 -8x+ 150y+ 121= 0#?
- How do you find the center, vertices, foci and asymptotes of #(x^2/16)-(y^2/9)=1#?
- How do you find the center, vertices, foci and asymptotes of # x^2/7 - y^2/9=1#?
- How do you find the center, vertices, foci and asymptotes of #x^2-y^2=100#?
- How do you find the center, vertices, foci and asymptotes of #4x^2-y^2-24x-4y+28=0#?
- How do you identify the vertices, foci, and direction of #x^2/81-y^2/4=1#?
- How do you identify the vertices, foci, and direction of #x^2/121-y^2/81=1#?
- How do you identify the vertices, foci, and direction of #y^2/25-x^2/16=1#?
- How do you identify the vertices, foci, and direction of #x^2/121-y^2/36=1#?
- How do you identify the vertices, foci, and direction of #(y+8)^2/36-(x+2)^2/25=1#?
- How do you identify the vertices, foci, and direction of #x^2/20-(y+1)^2/10=1#?
- How do you identify the vertices, foci, and direction of #(x-3)^2/4-(y+1)^2/9=1#?
- How do you identify the vertices, foci, and direction of #(y-1)^2/9-(x+1)^2/16=1#?
- How do you identify the vertices, foci, and direction of #(x-1)^2/4-(y-3)^2/4=1#?
- How do you identify the vertices, foci, and direction of #y^2/9-x^2/25=1#?
- How do you identify the vertices, foci, and direction of #-10y-y^2=-4x^2-72x-199#?
- How do you find the coordinates of the vertices and foci and the equations of the asymptotes for the hyperbola #y^2/18-x^2/20=1#?
- How do you find the coordinates of the vertices and foci and the equations of the asymptotes for the hyperbola #(y+6)^2/20-(x-1)^2/25=1#?
- How do you find the coordinates of the vertices and foci and the equations of the asymptotes for the hyperbola #x^2-36y^2=36#?
- How do you find the coordinates of the vertices and foci and the equations of the asymptotes for the hyperbola #5x^2-4y^2-40x-16y-36=0#?
- How do you find the foci and sketch the hyperbola #9y^2-x^2=4#?
- How do you find the foci and sketch the hyperbola #4y^2-4x^2=1#?
- How do you find the foci and sketch the hyperbola #x^2-y^2=1#?
- How do you find the foci and sketch the hyperbola #x^2/9-y^2/4=1#?
- How do you find the center and vertices and sketch the hyperbola #y^2/1-x^2/4=1#?
- How do you find the center and vertices and sketch the hyperbola #y^2/9-x^2/1=1#?
- How do you find the center and vertices and sketch the hyperbola #4y^2-x^2=1#?
- How do you find the center and vertices and sketch the hyperbola #4y^2-9x^2=36#?
- How do you find the center, foci and vertices of the hyperbola #(x-1)^2/4-(y+2)^2/1=1#?