  We compute the vector, scalar, and tensor form factors for the $B\to \pi$,
$B\to K$, and $B_s\to K$ amplitudes, which are needed to describe semileptonic
$B$-meson decay rates for both the charged and neutral current cases. We use
the highly improved staggered quark (HISQ) action for the sea and light valence
quarks. The bottom quark is described by the clover action in the Fermilab
interpretation. Simulations are carried out on $N_f = 2+1+1$ MILC HISQ
ensembles at approximate lattice spacings from $0.15$ fm down to $0.057$ fm. We
present blinded preliminary results for the form factors.
