money2690
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MAX POINTS
WILL GIVE BRANLIEST PLEASE HELP

h(x)=3/x-h +k
Oh no! He seems to be missing some parts though. He was "robbed" of his
asymptotes.
Luckily, he can remember what they were:
1. This functions vertical asymptote was x=-5.
2. This functions horizontal asymptote was y = 12.
Please recreate this function with those identifying features! Please make sure it
looks like the function in the picture

MAX POINTS WILL GIVE BRANLIEST PLEASE HELP hx3xh k Oh no He seems to be missing some parts though He was robbed of his asymptotes Luckily he can remember what class=

Respuesta :

Let's do

[tex]\\ \rm\dashrightarrow y=\dfrac{3}{x-h}+k[/tex]

Release k for some while

If

  • we take h=0

So

  • y=3/x

So vertical asymptote is at origin now

It mentioned that it's at x=-5 so we need to change x

  • put -5 in place of h

[tex]\\ \rm\dashrightarrow y=\dfrac{3}{x-(-5)}[/tex]

[tex]\\ \rm\dashrightarrow y=\dfrac{3}{x+5}[/tex]

  • Vertical asymptote at x=-5

Now

  • for k=0 horizontal asymptote at origin

But it's given

  • y is at 12

Same put y=12 in place of k

[tex]\\ \rm\dashrightarrow y=\dfrac{3}{x+5}+12[/tex]

  • h=-5
  • k=12

Graph attached for verification

Ver imagen Аноним

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