Can you upload another picture, you cannot really see your problem
The rule for g(x) is: 
Step-by-step explanation:
Given function is:

When a function f(x) is shifted right or left, b units the new function is written as:

Shifting right

Shifting left

Similarly, when shifting up or down

As our given function is shifted 3 units to the right, it will be written as:

The function is when moved down 3 units, then

Hence
The rule for g(x) is: 
Keywords: Function transformation, Functions
Learn more about functions at:
#LearnwithBrainly

For each time period, each time "t" increases by one, the population will be multiplied by 4.
In order to find height from where ball is dropped, you have to find height or h(t) when time or t is zero.So plug in t=0 into your quadratic equation:h(0) = -16.1(0^2) + 150h(0) = 0 +150h(0) = 150 ft is the height from where ball is dropped. When ball hits the ground, the height is zero. So plug in h(t) = 0 and solve for t.0 = -16.1t^2 + 15016.1 t^2 = 150t^2 = 150/16.1t = sqrt(150/16.1)t = ± 3.05Since time cannot be negative, your answer is positive solution i.e. t = 3.05