A pénzügyi támogatás fontos.

Because Hungarian usually leaves out the verb to be in the present tense, third person, when one noun or adjective is linked to another.

So:

A pénzügyi támogatás fontos. = Financial support is important.

But in other tenses, or in first/second person, the verb appears:

A pénzügyi támogatás fontos volt. = Financial support was important.
Fontos vagyok. = I am important.

This missing is is one of the most common things English speakers notice in Hungarian.

A is the definite article, like the.

Hungarian often uses the definite article in places where English would use no article, especially when the noun phrase is the topic of the sentence or when the speaker is talking about a general concept as a known category.

So A pénzügyi támogatás fontos is a normal Hungarian sentence, even though natural English usually says Financial support is important, not The financial support is important.

Also, a is used before consonant sounds. Before vowel sounds, Hungarian uses az.

Hungarian has two forms of the definite article:

a before a consonant
az before a vowel

Since pénzügyi begins with p, a consonant, the correct form is a:

a pénzügyi támogatás

If the next word began with a vowel, you would use az instead.

Pénzügyi is an adjective meaning financial.

It comes from pénzügy, which means finance or financial affairs, plus the adjective-forming suffix -i, which often means related to or connected with.

So:

pénzügy = finance
pénzügyi = financial / related to finance

This -i suffix is very common in Hungarian.

Támogatás is a noun meaning support or assistance.

It comes from the verb támogat, meaning to support, plus the noun-forming suffix -ás / -és.

So:

támogat = to support
támogatás = support, supporting, assistance

This is another very common Hungarian pattern: verb + -ás/-és = action or result noun.

It is in the basic subject form, often called the nominative.

Hungarian cases are usually shown by suffixes, but the subject often has no ending at all. So támogatás here is just the plain dictionary form.

The whole subject is:

a pénzügyi támogatás = the financial support / financial support

And fontos is the predicate adjective: important.

In Hungarian, attributive adjectives normally come before the noun, just like in English.

So:

pénzügyi támogatás = financial support
fontos támogatás = important support

Here, pénzügyi describes what kind of support it is.

Also, Hungarian adjectives do not change for gender, because Hungarian has no grammatical gender.

Yes, absolutely.

Hungarian word order is flexible, and it often reflects topic and focus rather than fixed grammatical roles.

A pénzügyi támogatás fontos.
This presents a pénzügyi támogatás as the topic, then says something about it.

Fontos a pénzügyi támogatás.
This is also natural and may sound slightly more like Financial support is important as a general statement, with a bit more attention on important.

Both are correct, but the nuance and information structure can differ slightly.

Yes, fontos is an adjective meaning important.

Here it is used predicatively, meaning it is the adjective that says something about the subject:

A pénzügyi támogatás fontos.

Hungarian adjectives do not agree with nouns in gender, because there is no grammatical gender in Hungarian. In this kind of sentence, fontos stays the same.

So you do not need to change it the way you might in some other languages.

A rough guide:

A pénzügyi támogatás fontos.

Approximate pronunciation:
aw PAYN-züü-dyee TAA-mo-go-taash FON-tosh

A few important notes:

• Hungarian stress is almost always on the first syllable.
• é is a long vowel, somewhat like the vowel in say, but purer.
• ü has no exact English equivalent; it is like German ü or French u.
• gy is a soft sound, roughly like a very soft dy.
• s in Hungarian sounds like English sh, so fontos ends with a sh sound.

So fontos sounds roughly like FON-tosh.