A quadratic equation has been transformed using the rotation equations x = 0.8u - 0.6v and y = 0.6u + 0.8v.
Convert the given point from (u, v) coordinates back to (x, y) coordinates.
-hyperbola foci $( \pm 3,0 )$
A) $( 2.4,0 )$ and $( - 2.4,0 )$
B) $( 2.4,1.8 )$ and $( - 2.4 , - 1.8 )$
C) $( 1.8,2.4 )$ and $( - 1.8 , - 2.4 )$
D) $( 0,1.8 )$ and $( 1.8,0 )$

Question

A quadratic equation has been transformed using the rotation equations x = 0.8u - 0.6v and y = 0.6u + 0.8v. 
Convert the given point from (u, v) coordinates back to (x, y) coordinates.
-hyperbola foci $( \pm 3,0 )$
A) $( 2.4,0 )$ and $( - 2.4,0 )$
B) $( 2.4,1.8 )$ and $( - 2.4 , - 1.8 )$
C) $( 1.8,2.4 )$ and $( - 1.8 , - 2.4 )$
D) $( 0,1.8 )$ and $( 1.8,0 )$

Quizplus · Accepted Answer

The transformation equations are used to convert the points $( \pm 3,0 )$ from (u, v) to (x, y) coordinates. Substituting u = 3, v = 0 and u = -3, v = 0 into the equations, we get the points $( 2.4,1.8 )$ and $( - 2.4 , - 1.8 )$.

A Quadratic Equation Has Been Transformed Using the Rotation Equations (±3,0)( \pm 3,0 )(±3,0)

A Quadratic Equation Has Been Transformed Using the Rotation Equations $( \pm 3,0 )$