How to do this Q.13 question regarding matrices and transformations ?
1 Answer
Explanation:
All points on the line
and then translated by the matrix
Any point on the line will have coordinates of the form.
Thus:
So:
Eliminating
So the image of
We can test this to verify it is the image.
Generate an
For:
Using the unexpanded form:
Plugging in
So the transformed point does lie on the curve.
In previous transformations of straight lines we have had an alternate method of finding the image equation, .i.e. by generating two points from the transformation and using these to find the equation of the image line. It is possible to find the equation of this problem by transforming points, but it would take four points and the simultaneous solving of four equations, not really practical in this situation.
Important
Do not make the mistake of including the translation before the transformation takes place.