Question 957587
here's a reference.


<a href = "https://sites.google.com/site/mymathclassroom/algebra/horizontal-translations-of-graphs---why-we-have-to-subtract-instead-of-add-in-order-for-the-graph-to-shift-to-the-right" target = "_blank">https://sites.google.com/site/mymathclassroom/algebra/horizontal-translations-of-graphs---why-we-have-to-subtract-instead-of-add-in-order-for-the-graph-to-shift-to-the-right</a>


if you have a horizontal shift to the left, the  you would need to replace x with x + 8.


f(x) = -2x - 5 would lead to:


h(x) = -2(x+8) - 5 which, when simplified, would lead to:


h(x) = -2x - 16 - 5 which would then lead to:


h(x) = -2x - 21.


unfortunately, that is not one of your selections.


I graphed the f(x) = y = -2x-5 and h(x) = y = -2x-21 which are shown below.


the black line is f(x) and the blue line is h(x).


<img src = "http://theo.x10hosting.com/2015/032201.jpg" alt="$$$" </>


you can see from the graph that the blue line is horizontally shifted to the left of the black line by 8 units.


that meets the requirements of the problem but is not one of the selections shown as your options.