Suppose that g(x) = f(x) + 6. Which statement best compares the graph of g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) shifted 6 units up.
B. The graph of g(x) is the graph of f(x) shifted 6 units down.
о
C. The graph of g(x) is the graph of f(x) shifted 6 units to the left.
O
D. The graph of g(x) is the graph of f(x) shifted 6 units to the right.

D

Step-by-step explanation:

for e.g. let g(x) be x + 8

f(x) = x+2

g(x) will touch the x-axis at -8 & f(x) will touch x-axis at -2 ...

Comparing the positions of these values in graph the values are getting shifted towards right

45

step-by-step explanation:

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.