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

Question

asked Feb 6, 2021 194k views

1 Answer

Pguetschow · Answer 1 · 2021-02-11T18:37:35+0000

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