Search Bar on Mobile Header Menu

I have my search bar on my header menu, but when I go to the smaller mobile version of the site, all the menu buttons go into the three-line menu button except for the “Home” button. I am totally okay with that, except that it also puts my search bar into the menu button, which severely hides the search from users. I am wondering if there is a way to keep the search bar in the header menu along side ‘Home’?? See my page here:

http://learn.tacomacc.edu/

Thanks to anybody that can help!