Question

The graph shown below expresses a radical function that can be written in the form f(x) = a(a + k) + What does the graph tell you about the value of k in this function? 3 4 8 9 A. kis greater than zero. B. It is not possible to tell whether kis greater than or less than zero. C. kis less than zero. D. kequals zero.

Answer 1

Step 1

Given:

$f(x)=a(x+k)^{\frac{1}{n}}+c$

Required: To say what the graph tells us of the value of k

Step 2

$\begin{gathered} \text{The parent function is} \\ y=\sqrt[]{x} \\ \end{gathered}$$\text{The endpoint of the parent function = (0,0)}$

Since k, represents the horizontal shift, and the horizontal shift is 5 units to the right.

K is therefore negative

$k=-5$

Hence k is less than zero.

Answer = option