# Translation of a Conic Section

### Topic Page

Translation of a Conic Section### Questions

- How do you translate a graph to the left or right?
- How do you translate a graph up or down?
- What does it mean to translate a graph?
- If the equation of a conic section is #(x-3)^2/49+(y-4)^2/13=1#, how has its center been translated?
- If the equation of a conic section is #(x+6)^2/81-(y+1)^2/16=1#, how has its center been translated?
- If the equation of a conic section is #(x-2)^2+(y+5)^2=25#, how has its center been translated?
- What is the difference between the graph of #y=2x^2+3x-4# and the graph of #y=2(x-4)^2+3(x-4)-4#?
- Where is the center of the graph of #(x+3)^2+(y-2)^2=4#?
- How do use the method of translation of axes to sketch the curve #x^2+y^2-4x+3=0#?
- How do use the method of translation of axes to sketch the curve #x^2+y^2+2x-6y+6=0#?
- How do use the method of translation of axes to sketch the curve #x^2-y^2+4x-2y+2=0#?
- How do use the method of translation of axes to sketch the curve #x^2+4y^2-4x+24y+36=0#?
- How do use the method of translation of axes to sketch the curve #9x^2-4y^2-36x-24y-36=0#?
- How do use the method of translation of axes to sketch the curve #16x^2+9y^2-320x-108y+1780=0#?
- Find the radius and center of the equation #x^2+y^2+6x-8y=0#?
- Find the coordinate of the vertices foci, end points of the minor axis, center, latus recta, the equation of the directrices, sketch the equation of #x^2+9y^2-24x-54y+51=0#?