Please show the work thank you!

Answer:
a= 1/4 , h=8 , k = -12
Step-by-step explanation:
There is really not much to say.
[tex]y=\frac{1}{x}[/tex] , [tex]y=\frac{1}{4x-32}-12[/tex]
Factor the denominator by 1/4.
[tex]y=\frac{1}{4(x-8)}-12[/tex]
You got your formula: [tex]y=\frac{a}{x-h}+k[/tex]⇒[tex]y=a\frac{1}{x-h}+k[/tex]
a= 1/4 means to shrink due to it being fraction.
h=8 means 8 right
k = -12 means 12 down.