searchform.php with tax-term filter

gistfile1.txt

<form role="search" method="get" id="searchform" action="<?php bloginfo('home'); ?>">
<input type="text" value="" name="s" id="s" /> 

<?php
function get_terms_dropdown($taxonomies, $args){
	$myterms = get_terms($taxonomies, $args);
	$selected = "selected";
	$output ="<select><option selected='".$selected."'>Select a Category</option>'";

	foreach($myterms as $term){
		$term_taxonomy=$term->My_Taxnomy;
		$term_slug=$term->slug;
		$term_name =$term->name;
		$output .="<option name='".$term_slug."'>".$term_name."</option>";
	}
	$output .="</select>";
return $output;
}

$taxonomies = array('My_Taxonomy');
$args = array('order'=>'ASC','hide_empty'=>true);
echo get_terms_dropdown($taxonomies, $args);

?>

<input type="submit" id="searchsubmit" value="Search" />
</form>