Question

1. describe the transformation for the equation compared to the parent function y=x^3. y=-1/2(x+4)^3-1

Answer 1

Answer: reflected across the y-axis, vertical compression by 1/2, shifted 4 to the left, shifted 1 down

Answer 2

reflected across the y-axis, vertical compression by 1/2, shifted 4 to the left, shifted 1 down

Explanation:

the negative sign indicates a reflection across the y-axis

the
`(1)/(2)` outside of the parentheses indicates a vertical compression because it is being multiplied and 0 <
`(1)/(2)` < 1

the 4 within the parentheses indicates a shift to the left because it is being added

the 1 outside of the parentheses indicates a shift down because it is being subtracted

good luck, hope this helped!