Well,. you could say bees in hive + bees in garden = bees in total.
Answer:
Some of the products do not show the correct powers of x.
Step-by-step explanation:
From the picture,
3x(2x - 1) = 6x² - 3x
The correct display on the tile should look like this :
_____+x ______ +x ______ +x
+x __ +x² ______+x² ______+x²
|
+x__ +x² ______ +x² ______+x²
|
- ___ -x _______ -x _______-x
+6x² - 3x
<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.
