Becky,

burning bush is a relatively slow grower, and you can't expect much growth in the same year that you plant a shrub.  Most of its' new growth occurred back in May, before you planted it.

Just be patient.

As for the browning leaves, these shrubs do not yet have a well-established root system - they were just planted in June.     So, on a hot west exposure, you are seeing the browning effects of heat and insufficient water transport to all the leaves.  This is not to suggest that you water a lot more.  Consider a wood chip mulch, applied about 1.5 inch deep, all around the shrub, but kept 6 inches away from the stems/trunks.

The browned leaves will not recover to re-green, but you should see new growth next May.   Be sure to water these shrubs during dry warm snowless periods Oct - Apr.