Question

Transformation g(x)=-2(x+3)^3+1

Answer 1

Step-by-step explanation:

Let's solve this problem step by step by setting the transformation a pattern function follows:

Step 1. Write the pattern function:

`g(x)=x^3`

Step 2. Shift the graph 3 units to the left:

`g(x)=(x+3)^3`

Step 3. Reflect the graph across the x-axis

`g(x)=-(x+3)^3`

Step 4. Stretch the graph vertically by a factor of 2

`g(x)=-2(x+3)^3`

Step 5. Shift the graph 1 unit up

`g(x)=-2(x+3)^3+1`