Finding Unknown Coefficients (Leaving Cert Mathematics): Flashcards

Numerical values in function equations (like $a$, $b$, $c$)

Determining values when given points on the function's graph

Substituting coordinates gives a true mathematical statement

$f(x) = ax + b$

Two pieces of information (usually 2 coordinate points)

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

A parabola (smooth U-shaped curve)

Three pieces of information (e.g., 3 coordinate points)

Identify the function type (linear or quadratic)

Solve equations simultaneously using elimination or substitution

Put $x$-value and $y$-value in the correct positions

Check intercepts or substitute back to verify