Describe the graphs of the following as the result of applying shifts, reflections, stretches, and/or compressions to the graph of $y=m(x)$.

a) $y= m\left(\dfrac{1}{5} x\right)+ 4$
The graph of $m(x)$ has been shifted ? left right up down by and ? vertically compressed vertically stretched horizontally stretched horizontally compressed by a factor of .

b) $y = \dfrac{1}{5} m(x)+ 6$
Transformations have been applied to the graph of $m(x)$ in the following order:
1) The graph of $m(x)$ has been ? shifted left shifted right shifted up shifted down vertically compressed vertically stretched horizontally stretched horizontally compressed by .
2) The graph of $m(x)$ has been ? shifted left shifted right shifted up shifted down vertically compressed vertically stretched horizontally stretched horizontally compressed by .

c) $y=-(m\left(4(x - 15)\right) + 14)$
Transformations have been applied to the graph of $m(x)$ in the following order:
1) The graph of $m(x)$ has been ? shifted left shifted right horizontally stretched horizontally compressed by .
2) The graph of $m(x)$ has been ? shifted left shifted right horizontally stretched horizontally compressed by .
3) The graph of $m(x)$ has been ? shifted up shifted down vertically compressed vertically stretched reflected about the x-axis reflected about the y-axis by .
4) The graph of $m(x)$ has been ? shifted up shifted down vertically compressed vertically stretched reflected about the x-axis reflected about the y-axis .

d) $y=\dfrac{1}{2} m\left(-\dfrac{1}{3} x- 17\right) - 4$
Transformations have been applied to the graph of $m(x)$ in the following order:
1) The graph of $m(x)$ has been ? shifted left shifted right horizontally stretched horizontally compressed by .
2) The graph of $m(x)$ has been ? reflected about the x-axis reflected about the y-axis .
3) The graph of $m(x)$ has been ? shifted left shifted right horizontally stretched horizontally compressed by .
4) The graph of $m(x)$ has been ? shifted up shifted down vertically compressed vertically stretched by .
5) The graph of $m(x)$ has been ? shifted up shifted down vertically compressed vertically stretched by .

Hint: