a) Suppose the point $(-1,1)$ is on the graph of a function $f(x)$.
i) What point would be on the graph $g(x)$ given by first shifting $f(x)$ up by 5 unit, then stretching it vertically by a factor of 5?

ii) What point would be on the graph $h(x)$ given by first stretching $f(x)$ vertically by a factor of 5, then shifting it up by 5 unit?

b) Did changing the order of the transformations change the point? ? Yes No
c) There are two formulas indicating shifting $f(x)$ up by 5 and stretching vertically by a factor of 5: $5 f(x)+5$ and $5(f(x)+5)$. Try to determine which of these is $g(x)$ and which is $h(x)$. Hint: Think about order of operations .
$g(x) =$

$h(x) =$

Hint: