# Rotation of a Conic Section

### Topic Page

Rotation of a Conic Section### Questions

- How do I rotate a parabola from opening up to opening horizontally?
- How do I rotate the axes of and then graph #7x^2 - 6sqrt3xy + 13y^2 - 16 = 0#?>
- How do I rotate the axes of and then graph #y^2-6x^2-4x+2y=0#?
- How do I rotate the axes of and then graph #11x^2+5.5y^2-22x+11y=0#?
- How do I rotate the axes of and then graph #4x+y^2+7y=-4#?
- How do you find the x and y axes of a function without the graph?
- How do you use rotation of axes to identify and sketch the curve of #x^2+xy+y^2=1#?
- How do you use rotation of axes to identify and sketch the curve of #sqrt3xy+y^2=1#?
- How do you use rotation of axes to identify and sketch the curve of #97x^2+192xy+153y^2=225#?
- How do you use rotation of axes to identify and sketch the curve of #16x^2-8sqrt2xy+2y^2+(8sqrt2-3)x-(6sqrt2+4)y=7#?
- How do you graph the conic #x^2-4xy+y^2+1=0# by first rotations the axis and eliminating the #xy# term?
- How do you graph the conic #2x^2-3xy-2y^2+10=0# by first rotations the axis and eliminating the #xy# term?
- How do you graph the conic #13x^2+6sqrt3xy+7y^2-16=0# by first rotations the axis and eliminating the xy term?
- How do you graph the conic #16x^2-24xy+9y^2-60x-80y+100=0# by first rotations the axis and eliminating the xy term?
- How do you rotate the axes to transform the equation #xy+4=0# into a new equation with no xy term and then find the angle of rotation?
- How do you rotate the axes to transform the equation #x^2+xy+y^2=2# into a new equation with no xy term and then find the angle of rotation?
- How do you rotate the axes to transform the equation #x^2-4xy+y^2=1# into a new equation with no xy term and then find the angle of rotation?
- How do you rotate the axes to transform the equation #x^2+2sqrt3xy-y^2=7# into a new equation with no xy term and then find the angle of rotation?
- How do you rotate the axes to transform the equation #5x^2-sqrt3xy+4y^2=6# into a new equation with no xy term and then find the angle of rotation?
- How do you rotate the axes to transform the equation #x^2+xy=3# into a new equation with no xy term and then find the angle of rotation?
- How do you rotate the axes to transform the equation #2x^2-xy-y^2=1# into a new equation with no xy term and then find the angle of rotation?
- How do you rotate the axes to transform the equation #4x^2-sqrt3xy+y^2=5# into a new equation with no xy term and then find the angle of rotation?
- How do you rotate the axes to transform the equation #2x^2+sqrt3xy-y^2=-10# into a new equation with no xy term and then find the angle of rotation?
- What rotation is required to remove the #xy#-term from the conic #x^2+2sqrt(3)xy+3y^2+2sqrt(3)x-2y=0#?