Hyperbola question, functions

[rigid pelican]

im stuck on 5.4

im not entirely sure what to reflect

and whether to reflect the y or x

or differentiate because of that K with that small apostrophe on top

[digital lodge]

h is nothing else other than the line of symmetry of g

[rigid pelican]

for the line of symmetry i got y = x+3

So i what do i do with it then

[digital lodge]

Ok...K' is just the reflection of the curve's x intercept(K) about the line of symmetry u have got...

[rigid pelican]

oh i see

so y= -(x+3) ?

and i sub in the axis of symmetry co-ordinates into this new reflection to get co-ordinates of K'?