Question

Which transformations have been performed on the graph of f(x) =
`\sqrt[3]{x}` to obtain the graph g(x) = 1/4
`\sqrt[3]{x+3}` + 6

Select each correct answer.



(A) reflect the graph over the x-axis

(B) compress the graph closer to the x-axis

(C) translate the graph down

(D) translate the graph to the right

(E) translate the graph to the left

(F) translate the graph up

(G) stretch the graph away from the x-axis

Answer 1

The correct answers are B, E and F

Explanation:

We can find the answer B by noticing the 1/4 put in front of the cube root sign. this 1/4 shirks the value of every y value by 1/4, which in turn makes it closer to the x axis.

We can find answer E by looking at the 3 inside of the cube root symbol. When we add a number underneath the cube root sign, it always moves the value to the left that many spaces.

Finally, we can find F by looking at the 6 at the end. Any number added to the end of an equation as a constant moves the graph up by that many spaces.