Write an equation for a function that has a graph with the given characteristics.

The shape of y=^3 squareroot x is shifted 7.3 units to the left. This graph is then vertically stretched by a factor of 9. ​Finally, the graph is reflected across the ​x-axis.

Thanks

1 answer

parent: y = ∛x
shift left 7.3 gives y = ∛(x+7.3)
stretch by 9 gives y = 9∛(x+7.3)
reflection changes the sign of the y-values, so

y = -9∛(x+7.3)

square root is a particular function.

cube root is not "^3 squareroot"

Try saying
cube root
4th root
5th root
etc. instead of that clunky attempt.