The graph of $y=x^2$ may be transformed into the graph of $y=5-3(x-4{)}^2$ by these

transformations.

A reflection in the line $y=0$

a vertical stretch with scale factor $k$

a horizontal translation of $p$ units

a vertical translation of $q$ units.

followed by

followed by

followed by

Write down the value of

$($a$)k$;

$($b$)p$;

$($c$)q.$

$($Total $4$ marks$)$