Afunction latex: f\left(x\right)=\sqrt[3]{x}f ( x ) = x 3 is transformed into the function latex: g\left(x\right)=-\sqrt[3]{x}-8g ( x ) = − x 3 − 8. name the 2 transformations that occurred and describe the general shape of g(x).

A reflection in the x-axis, and a vertical translation of 8 units down

Step-by-step explanation:

The given function is

The transformed function is

To see the transformation that occurred, we can rewrite g(x) in terms of f(x).

That is:

Therefore f(x) is reflected in the x-axis and translated 8 units down.

The resulting graph decreases from left to right over its entire domain.

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation: