1.1. The point $P(3,-12)$ lies on the curve with equation $y={x}^{2}-12x+15.$

The graph is stretched so that the point $P$is mapped to the point $(3,-4).$.  Write down the equation of the transformed function in the form $y=a{x}^{2}+bx+c$, where $a$,$b$  and $c$ are constants to be found.

1.2. The graph is stretched so that the point $P$is mapped to the point $(1,-12)$. Write down the equation of the transformed function in the form $y=(dx{)}^{2}-12(dx)+15$, where $d$ is a constant to be found.