Help in scripting an specific type of movement.

Okey, so, im really new in the world of programming and im trying to create my first game. I've been searching for a specific code for an special type of movement but since i did not found anything, i thought you guys could help me. So, i want my character to do like a type of ''dash'' and only a dash, his movement is based on dashes, but he can only move an specific distance and it would have a little bit of cooldown, but no too much, also, while he is ''dashing'' to the other position i need him to play one of my animations that is a jump, it would look like he is jumping from one square to another. if u guys could help me with that it would be amazing. im going to post pictures of the charater in a test world so u can see what im talking about.

 

There are a lot of ways you could be moving your sprites. As there are not enough details in your question to give a nice answer i would recommend you look into http://www.pixelplacement.com/itween/index.php and find some tutorials for it if you can't follow the documentation. Best of luck on your game