SOLUTION: The center of a hyperbola with equation 9x2 - 25y2 - 225 = 0 is moved 5 units to the right and 2 units down. Find the equation in standard form of the hyperbola in its new posi

Algebra.Com
Question 1188725: The center of a hyperbola with equation 9x2 - 25y2 - 225 = 0 is moved 5 units to the right and 2 units down. Find the equation in standard form of the hyperbola in its new position.
Answer by ikleyn(52810)   (Show Source): You can put this solution on YOUR website!
.
The center of a hyperbola with equation 9x2 - 25y2 - 225 = 0 is moved 5 units to the right and 2 units down.
Find the equation in standard form of the hyperbola in its new position.
~~~~~~~~~~~~~~ 

Starting from the given equation, divide its both sides by 225.


You will get then the hyperbola equation in the standard form


     -  = 1.


The center of this (given) hyperbola is the origin of the coordinate system (o,o).


After described translations, the center of the new hyperola is at the point (5,-2).


THEREFORE, the standard equation of the translated hyperbola is


      -  = 1,


or, which is the same, but simpler


      -  = 1.      ANSWER

Solved.



RELATED QUESTIONS

The perimeter of an ellipse is 28.448 units. Its major axis is 10 units long and is... (answered by greenestamps)
For the given equation, find the coordinates of the foci. 9x2 + 25y2 = 225 (answered by lynnlo)
the red line on the graph is f(x) = 2^x the blue line looks almost the same but moved 6... (answered by stanbon)
Find the equation of the horizontal hyperbola that has its center at (0,0), its straight... (answered by MathLover1)
Identify the type of conic section that has the equation 9x2+ 25y2 =225 and identify its... (answered by josmiceli)
If foci of a hyperbola are (0,±5) and length of semi transverse axis is 3 units, then... (answered by ikleyn)
Find the co-ordinates of the vertices and the foci and length of the latus rectum of the (answered by Gogonati)
Which answer describes the transformation of f(x) = log2(x-5)-2 from the parent function... (answered by MathLover1)
Consider a parabola P that is congruent (has the same shape) to , opens upward, and has... (answered by ikleyn)