3. Transform the following expression into standard form \( f ( x ) = a x ^ { 2 } + b x + c \)
\( g ( x ) = 5 ( x - 3 ) ^ { 2 } + 7 \)
Determine the value of " \( c \) "
3. Transform the following expression into standard form \( f ( x ) = a x ^ { 2 } + b x + c \)
\( g ( x ) = 5 ( x - 3 ) ^ { 2 } + 7 \)
Determine the value of " \( c \) "
3:
\(5 ( x - 3 ) ^ { 2 } + 7 = 5 x ^ { 2 } - 30 x + 52 \)
\( \therefore g ( x ) = 5 x ^ { 2 } - 30 x + 52 \)
\( \Rightarrow c = 52\)