Write a function based on the given parent function and transformations in the given order parent function y=x^2
shift 2 units to the right
reflect over the x-axis
shift downward 4 units

is the resultant function after transformations.

Step-by-step explanation:

Parent function is given as:

(Graph 1 in attachments, it is a parabola)

Let us apply the transformations step by step:

1. Shift 2 units to the right i.e.

change the value of by 2.

The equation of a parabola can be: where is the point on x axis which is the axis of symmetry.

Right side means the equation becomes:

 (Graph 2 in attachments)

2. Reflect over x axis i.e.

change the sign of y from + to -.

(Graph 3 in attachments)

3. Shift downward 4 units i.e.

Subtract 4 from the value of y:

(Graph 4 in attachments)

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

898.1666667

step-by-step explanation:

5389/6 = 898.1666667