As Gov. Kathy Hochul of New York prepares to deliver her State of the State address on Tuesday, her priorities seem firmly focused on the voter frustrations that fueled Donald J. Trump’s election to the presidency in November.

Over the last month, Ms. Hochul has announced proposals to cut taxes for parents, make school lunch free and give millions of New Yorkers rebates of up to $500 depending on their income. These ideas have all been packaged as part of an “affordability agenda.”

And on Tuesday, Ms. Hochul is expected to announce a new series of middle-class tax cuts, and devote a portion of her speech to efforts to combat crime and mental illness.

“You tell us you need help; we hear you need help,” Ms. Hochul said earlier this month when previewing some of the proposals that will be included in her speech and her executive budget, which will come out next week. “We’re going to continue delivering real solutions that make a difference.”

Ms. Hochul, a centrist Democrat, is also expected to reinforce the notion that New York will protect vulnerable groups from aggressive policies adopted by the incoming Trump administration, especially concerning recent immigrants, according to someone familiar with her planned speech.

The governor, however, has no plans to adopt the kind of “resistance” fervor that characterized responses to Mr. Trump’s first inauguration in 2017, the person said.