Question

the graph shown below expresses a radical function that can be written in the form f(x) =a(x+k) ^1/n +c what does the graph tell you about the value of k in this function

Answer 1

The value of k is (c) k is greater than 0

How to determine the value of k?

The graph that completes the question is added as an attachment.

The function is given as:

y = a(x + k)^1/n + c

Rewrite as:

$y =a\sqrt[n]{x+k} + c$

The parent function of the above equation is:

$y =\sqrt[n]{x}$

By comparing both functions, we have:

x + k > x

This means that:

k > 0 i.e. k is positive

Hence, the value of k is (c) k is greater than 0

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