To find: The vertex , axis of symmetry, and transformations of the parent function? Solution: We have,
...(i) It is an absolute function. The vertex form of an absolute function is ...(ii) where, a is a constant, (h,k) is vertex and x=h is axis of symmetry. From (i) and (ii), we get
So,
Parent function of an absolute function is
Since, a=8 therefore, parent function vertically stretched by factor 8. , so the function shifts unit right. k=-3<0, so the function shifts 3 units down. Therefore, the vertex is and Axis of symmetry is . The parent function Therefore, the vertex is and Axis of symmetry is . The parent function vertically stretched by factor 8, shifts unit right and 3 units down.