It would appear that the majority of your plant is dead. It may have been from the cold winter that nearly the entire United States suffered.
Though I'm not sure of the plant that is in the picture, it is possible it is just growing from the roots as they appear to have survived. In time your plant will fill in.
Depending on the type of shrub and the cultivator it could be a shrub that is grafted onto another root stock.
In that case the new growth may be different than the previous shrub.
If your wanting to give the new growth a chance, just go ahead and remove the dead material back to the new growth.
If your wanting to start over, early fall is a good time to plant a replacement.