adobe photoshop - What is the easiest way to have a better quality image from a given image

I am a novice for graphic design.

I have a low quality image which is given by my friend, its size is really small, but we want to make it bigger and clearer so that we can use it as a banner or logo or etc.

So my question is what is the easiest way to get a better quality image from a given(smaller, low quality) image?

1. 
   

   Should I manually draw it, and how, what tools to use?

   
   


2. 
   

   Or is there a way which I can easily convert it to a vector and then increase the size and then save it back as a png?

   
   

Answer

In order to turn your low-resolution graphic into a high-resolution (or vector) version, you'll need to trace over it in a program like Adobe Illustrator.

Illustrator also has the "Live Trace" feature, which can quickly turn that sort of black-and-white icon into a vector instantly.

Once the image is vector, you can stretch it infinitely large or small and not lose any quality.

For your second item about the heart, I really don't have any idea. You should post your questions as separate anyways, it becomes really confusing trying to answer two different things at once.