(7) On Diagram 1, sketch a graph of the curve

C

with equation\

y=(6)/(x),x!=0

\ The curve

C

is transformed onto the curve with equation

y=(6)/(x-2),x!=2

\ (b) Fully describe this transformation.\ The curve with equation\

y=(6)/(x-2),x!=2

\ and the line with equation\

y=kx+7, where k is a constant

\ intersect at exactly two points,

P

and

Q

.\ Given that the

x

coordinate of point

P

is -4\ (c) find the value of

k

,\ (d) find, using algebra, the coordinates of point

Q

.\ (Solutions relying entirely on calculator technology are not acceptable.)

(d) On Diagram 1, sketch a graph of the curve C with equation y=x6x=0 The curve C is transformed onto the curve with equation y=x26x=2 (b) Fully describe this transformation. The curve with equation y=x26x=2 and the line with equation y=kx+7 where k is a constant