The Search Page Layout Settings and the Post Elements settings are similar to that of the Blog Page settings. The only different option that this page contains is the Page Title option.
You can Enable/Disable the Page Title option to display/hide the search form in the Search page.

Furthermore, the Page Title option comprises of the following settings:
Breadcrumb – Enable/Disable to show breadcrumbs on the Search page.
Search Page Label – Enter the label for the search form here.
Horizontal Alignment – Aligns the search page header content.
Show Post Counts – Displays the number of search results.
Top Spacing – Set a vertical spacing for the search form on the Search page header.
Bottom Spacing – Set a bottom margin value for the result counter.