Question

The graph of function f and another is shown below what is the equation of the other?

Answer 1

`E` #`` ``y=f(x-1)+2#

Explanation:

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When you add or subtract a value from your `x` your graph shifts by the amount of that value in the negative or positive `x` direction, i.e. to the left or right respectively.

And when add or subtract a value to your `y` your graph moves up or down by the amount of that value respectively.

Here, if you look at an easily identifiable point such as the maximum or the minimum of the function you can see that the other function is the original function of `y=f(x)` shifted `1` unit to the right and `2` units up.

This means you have to subtract `1` from your `x` and add `2` to your `y`.

So, the new function becomes `y=f(x-1)+2`.