However, before you look at the graph, you must consider how far we are going to shift each of the curves. To give you an example, in the graph below I have shifted the demand curve right (once), but I have shifted the supply curve right three different times. The reason I have done this is to show you that depending on the size (magnitude) of the shift, the resulting equilibrium price can be at three different levels.
What we do know is that quantity demanded will go up, and you can confirm this by looking at the three red equilibrium points, each of them are located to the right of the original equilibrium point, and quantity.
Why would curves shift out different amounts? One example would be a $1 decrease in the price of inputs vs. a $10 decrease in the price of inputs. You can conclude immediately that the $10 decrease would result in a much larger shift for the supply curve. But keep in mind that this phenomena is not restricted to the supply curve, the demand curve could also shift by different amounts to come up with this ambiguous result.