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PSAT/NMSQT
PSAT Math Test - No Calculator Section

Finding the Y-Intercept of a Quadratic Function

Very Hard Passport To Advanced Math Quadratic Functions

Consider the quadratic function defined by the equation:

$$ f(x) = ax^2 + bx + c $$

where $$ a $$, $$ b $$, and $$ c $$ are real numbers. It is known that the function has a vertex at the point (2, -3) and passes through the point (1, 0). Determine the values of $$ a $$, $$ b $$, and $$ c $$, and use this information to find the value of $$ f(0) $$, which is the y-intercept of the function. Report your answer as a decimal representation of $$ f(0) $$.

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