FINDING THE QUADRATIC FUNCTION GIVEN ITS ZEROS
[tex] \\ \\ \large\bold{GIVEN : } \normalsize{ \texttt{\: \: 5 \: \: and \: \: 4}} \\ \\ [/tex]
• Transfer in the constants and change its integer sign
[tex] \\ x = 5 \: \: and \: \: x = 4 \\ [/tex]
[tex] \\ x - 5 = 0 \: \: and \: \: x - 4 = 0 \\ \\ [/tex]
• Multiply the two linear equation using F.O.I.L method
[tex] \\ (x - 5)(x - 4) \\ [/tex]
[tex] \\ {x}^{2} - 4x - 5x + 20 = 0 \\ \\ [/tex]
• Add all same terms
[tex] \\ \blue{{x}^{2} - 9x + 20 = 0 }\\ \\ [/tex]
• Change the equation to a function
[tex] \\ \large\green{ \boxed{ \green{ \sf{y = {x}^{2} - 9x + 20 }}}} \\ \\ \\ \\ [/tex]
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