In class: we studied the definition of /rational functions/ and looked at the graph of f(x) = 1/x and transformations of this parent function.
For example the function f(x) = 1/x
When transformed to g(x) = 3/(x-4) + 1 incurs a vertical stretch by factor 3 and horizontal shift of +4 to the right and vertical shift + 1. The asymptotes of the function are transformed with the function, so the asymptotes y = 0 and x = 0 of the parent function are vertically stretched (no effect) then vertically shifted (y -> 3fy + 1) and horizontally translated (x -> x + 4), so the x = 0 vertical asymptote moves right to x = 4.
Also, our nice point (1,1) moves 4 to the right and takes a vertical stretch by factor 3 followed by a vertical shift + 1, so (1 + 4, 1*3+1) = (5, 4)
Assignment: 9.6 on p. 536: 1-8, 10-12
Reminder: SBAC testing in Ms. Mac’s room tomorrow during 6th period.