Select the correct answer. Each statement describes a transformation of the graph of f(x) = \sqrt[ 3]{x} ​

Question

Select the correct answer. Each statement describes a transformation of the graph of


`f(x) = \sqrt[ 3]{x}`

​

Answer 1

The correct answer is d.

Explanation:

Let's solve each answer and see which one matches.

Note that in each case, you simply add or subtract from x inside the radical to move left or right respectively. Similarly, just add or subtract to the full expression to move up or down respectively. Doing so we get:

a)
`f(x) = \sqrt[3]{x + 7} + 3`

b)
`f(x) = \sqrt[3]{x - 3} - 7`

c)
`f(x) = \sqrt[3]{x - 3} + 7`

d)
`f(x) = \sqrt[3]{x - 7} + 3`

So d is the correct answer.