Step-by-step explanation:
To find the value of ( c ), we use the given point ((2, -14)) and substitute the values of ( x ) and ( y ) into the equation ( y = -5x^2 + c ).
Substituting the given point ((2, -14)) into the equation:
( -14 = -5(2)^2 + c )
Solving for ( c ), we get:
( -14 = -5(4) + c )
( -14 = -20 + c )
( c = -14 + 20 )
( c = 6 )
Therefore, the value of ( c ) is 6.
