write equation for rational function

Question

write an equation for the rational function described below:

Vertical asymptote X equals 7, horizontal asymptote Y equals 0, vertical stretch of 3, reflection across the X axis

y=______/(x-____)+_____

Answer 1

The vertical asymptote means you need to add a factor into the denominator

y=______/(x-7)+_____

The vertical stretch of 3 means add a 3 to the numerator

y= 3/(x-7)+_____

The reflection on the x axis mean add a negative sign

y= -3/(x-7)+_____

The remaining blank has to be +0 to keep the horizontal asymptote at y=0

y= -3/(x-7)