202,696 views
16 votes
16 votes
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-example-1
User OliJG
by
2.6k points

1 Answer

14 votes
14 votes

Solution

We have the original function defined as:


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

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:


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

Then the final answer is:

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

The graph of f (in blue) is translated a whole number of units horizontally and vertically-example-1
User AnnaSm
by
2.5k points