We are required to move the graph
[tex]y=x^2\text{ }[/tex]so that it lies on top of the graph
[tex]y=-\frac{3}{2}(x+5)^2-1[/tex]The original graph and the transformed graph are shown below:
The original graph is represented by the red graph
[tex]y=x^2[/tex]The transformed graph is represented by the function
[tex]-\frac{3}{2}(x+5)^2-1[/tex]The transformation rule is:
1. Reflect it on the x-axis
2. Bring the graph down vertically by 1 unit
3. Shift the graph 5 units to left
4. Stretch the graph by a factor of 3/2
