The quadratic parent function is given by
-
Horizontal Shift: The term
indicates a horizontal shift to the right by 3 units. This moves the vertex from its original position. -
Vertical Shift: The term
indicates a vertical shift upwards by 5 units.
The vertex of the parent function
Applying the transformations:
- After shifting right by 3 units, the new x-coordinate of the vertex becomes
. - After shifting up by 5 units, the new y-coordinate of the vertex becomes
.
Thus, the vertex of the graph of