Answer:
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:
<u>1. Shift 2 units to the right </u>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)
<u>2. Reflect over x axis</u> i.e.
change the sign of y from + to -.
(Graph 3 in attachments)
3. <u>Shift downward 4 units </u> i.e.
Subtract 4 from the value of y:
(Graph 4 in attachments)