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The graph of f (in blue) is translated a whole number of units horizontally and vertically to obtain the graph of k (in red).The function fis defined by f(x) = fx/.Write down the expression for k(x).

The graph of f in blue is translated a whole number of units horizontally and vertically to obtain the graph of k in redThe function fis defined by fx fxWrite d class=
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Solution

We have the original function defined as:

[tex]f(x)=-\sqrt[]{x}[/tex]

And we want to obtain the new red line so then we need to check how many units down and right the function moves:

And we have 3 units to the right and 2 units down then the answer is:

[tex]h(x)=-\sqrt[]{x-3}-2[/tex]

Then the final answer is:

h(x) = -sqrt(x-3) -2

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