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)

78.59 is the mean

step-by-step explanation: