Answer:
1) Shift 2 unit left
2) Flip the graph about y-axis
3) Stretch horizontally by factor 2
4) Shift vertically up by 1 units
Step-by-step explanation:
Given:
Parent function:
Transformation function:
Re-write the transformed function by taking -2 common,
Step 1 -
Shift 2 unit left i.e, f(x)→f(x+b) shifting left by b unit
Step 2 -
Flip the graph about y-axis i.e, f(x)→ -f(x)
Step 3 -
Stretch horizontally by factor 2 i.e, f(x)→f(bx) stretch horizontally by b unit
Step 4 -
Shift vertically up by 1 units i.e, f(x)→f(x)+b shifting vertically by b unit
Thus, In 4 steps transformation is done.