Question

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

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Answer 1

Answer:

The correct answer is d.

Step-by-step 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.