Answer:

Step-by-step explanation:
So when x and y, vary inversely, it means that the product of x and y will remain constant such that:
. This means that the function can be defined as
by dividing both sides by x. In this case x=12, and y=8, this means the constant is equal to 12 * 8 which is 96. So we have the equation:
, which can be defined as 
If you cards are only 5,6,7, then the probability of getting even, then even would be zero.
The directions say that the card is not replaced. Therefore, once you pick the 6, there would be no more even cards.
Comparing g(x) with f(x), you can see that the function f(x) is translated to the right by 6 units to produce g(x) which is equivalent to (x-6)²
<h3>Transformation of function</h3>
Transformation is a techniques use to change the position of an object on an xy-plane.
Given the parent function f(x) = x² and the function g(x) = x²-12x +36
Factorize g(x);
g(x) = x²-6x-6x+36
g(x)=x(x-6)-6(x-6)
Group the terms to have;
g(x) = (x-6)²
Comparing g(x) with f(x), you can see that the function f(x) is translated to the right by 6 units to produce g(x) which is equivalent to (x-6)²
Learn more on transformation here: brainly.com/question/4289712
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The graph is Parabola or Graph of Quadratic Function.
The graph has minimum value, not maximum. So ( A ) is not correct for maximum part.
B is not correct for exponential part.
also C is not correct for discrete part as Quadratic graph is continuous.
So the answer is D.
(D) 4 shaded for every 2 unshaded! Hope this helps! :)