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We study the initial-state-radiation processes e+e- -> K+K-pi+pi-gamma
and e+e- -> K+K-pi0pi0gamma using an integrated luminosity of 232 fb-1
collected at the Upsilon(4S) mass with the BaBar detector at SLAC.
Even though these reactions are dominated by intermediate states with excited
kaons, we are able to study for the first time the cross section for
e+e- -> phi(1020) f0(980) as a function of center-of-mass energy.
We observe a structure near threshold consistent with a 1-- resonance
with mass m=2.175+-0.010+-0.015 GeV/c2 and width Gamma=58+-16+-20 MeV.
We observe no Y(4260) signal and set a limit of
BF(Y->phi pi+pi-)Gamma^Y_ee<0.4 eV (90% confidence level), which
excludes some models.
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