What is the equation of the vertical asymptote of h(x)=6log4(x−3)−5 ? Enter your answer in the box.
Answer:
x = 3
Step-by-step explanation:
The last two parts of the function help see where the curve is and where the vertical asymptote would be. The (x-3) says that it was moved 3 units to the right, and the -5 says that it was moved 5 units down:
/\ * ]
| * [
| * ]
| * [
<--|--|--|--|--|--|--|--|-- |--|--|--|--|--3*-]-|--|--|--|--|--|--|--|--|-->
| * [
| * ]
|*5 [
\/ ]
So the vertical asymptote would be where it crosses the x-axis and then goes straight up: 3
[
] = vertical asymptote
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* = function graphed
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(By the way, I got this correct on my quiz!)
Hope this helps!