The point $A(3,2)$ lies on the curve $y=f(x).$

1. Find the coordinates to which $A$ is transformed on the curves $y=f(3x)$ and $y=4f(x).$

2. Given that $A$ transforms to the point $(12,10)$ on the curve $y=af(bx),$ find the values of $a$ and $b.$

For part (b), observe that $3$ has enlarged by a scale factor of $4$ to become $12$. What transformation to $y=f(x)$ would cause this? This line of thought should help you find $b.$