Answer:
B
Step-by-step explanation:
Consider all options:
A. Transformation with the rule
is a reflection across the x-axis.
Reflection across the x-axis preserves the congruence.
B. Transformation with the rule
is a dilation with a scale factor of 
over the origin.
Dilation does not preserve the congruence as you get smaller figure.
C. Transformation with the rule
is a translation 6 units to the right and 4 units down.
Translation 6 units to the right and 4 units down preserves the congruence.
D. Transformation with the rule
is a clockwise rotation by 
angle over the origin.
Clockwise rotation by angle over the origin preserves the congruence.
<u>Weight : </u>
<em>⇒ x for 6 people</em>
<em>⇒ y for the 7th person</em>
<u>The correct answer is B).</u>
<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.
Out of that particular list, the only description
that applies to 2.5 is "rational".
