<h3>
Short Answer: Yes, the horizontal shift is represented by the vertical asymptote</h3>
A bit of further explanation:
The parent function is y = 1/x which is a hyperbola that has a vertical asymptote overlapping the y axis perfectly. Its vertical asymptote is x = 0 as we cannot divide by zero. If x = 0 then 1/0 is undefined.
Shifting the function h units to the right (h is some positive number), then we end up with 1/(x-h) and we see that x = h leads to the denominator being zero. So the vertical asymptote is x = h
For example, if we shifted the parent function 2 units to the right then we have 1/x turn into 1/(x-2). The vertical asymptote goes from x = 0 to x = 2. This shows how the vertical asymptote is very closely related to the horizontal shifting.
Answer:
-12/5 = -1 2/5 = -1.4 and 6 1/2 = 13/2 = 6.5
Step-by-step explanation:
Kelvin would read 70 pages in 2 hours.
Step-by-step explanation:
Total pages read per hour by Kevin= 35 pages
Total number of hours in consideration= 2 hours
Hence total pages that are read by Kevin in 2 hours= Pages read in 1 hour * Total hours in consideration
Substituting the values of pages read by Kevin in 1 hour and total hours in consideration
Total number of pages= 35*2= 70 pages
Hence, the total number of pages read by Kevin in 2 hours is 70 pages