If the parent function f(x) = x^2 is fatter translated 11 units to the left, then translated 5 units down, write the resulting function g(x) in vertex form. a. f(x) = 1/2(x - 11)^2 - 5 b. f(x) = 1/2(x + 11)^2 - 5 c. f(x) = 2(x - 11)^2 - 5 d. f(x) = 2(x + 11)^2 - 5 if the parent function f(x) = x^2 is fatter translated 8 units to the right, then translated 1 unit down, write the resulting function g(x) in vertex form. a. g(x) = 1/3(x - 8)^2 - 1 b. g(x) = 1/3(x + 8)^2 - 1 c. g(x) = 3(x - 8)^2 - 1 d. g(x) = 3(x + 8)^2 - 1

Part A.

1.  If the parent function is shrinked (looks more flattened out and fatter) with coefficient 0<k<1, then  its equation is

2. If the function is fatter translated 11 units to the left, then its equation becomes

3. If the function   is  translated 5 units down, then its equation becomes

where 0<k<1.

Answer 1: correct choice is B.

Part B.

1.  If the parent function is shrinked (looks more flattened out and fatter) with coefficient 0<k<1, then  its equation is

2. If the function is fatter translated 8 units to the right, then its equation becomes

3. If the function   is  translated 1 unit down, then its equation becomes

where 0<k<1.

Answer 2: correct choice is A.

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.