Answer: commemorative speech
Explanation: There are various types of speeches. A commemorative speech also known as ceremonial speech, is when a speaker celebrates an event, group, person, place, situation, or idea as a sign of respect for the work done. This normally happens at special events. In this case Barack Obama was giving a speech praising Martin Luther King for his efforts during the civil rights movement.
Other multiple choice options given that don't apply here, and their definitions are below:
Invitational speech: this is a type of speech where the speaker engages in dialogue with his/her audience to discuss, compare or clarify issues, ideas or other points.
Persuasive speech: this is a type of speech where the speaker tries to convince his/her audience to see things from their perspective and accept their (the speaker's) point of view.
Informative speech: this is a type of speech where the speaker makes use of demonstrations, definitions and descriptions to explain a subject matter to the audience and help them understand it.
Speech of presentation: this type of speech is similar to the options above, as the speaker makes use of demonstrations, and other forms of information to persuade or explain a topic to its audience.