Select the x-coordinate of the vertex of the parabola defined by the function [tex]f(x) = -7x^2 + 3x + 1[/tex].
Answer (2)
f ( x ) = − 7 x 2 + 3 x + 1 a = − 7 , b = 3 , c = 1 v er t e x ( h , k ) i s g i v e n \ b y : h = 2 a − b , k = c − 4 a b 2 h = 2 ⋅ ( − 7 ) − 3 = − 14 − 3 = 14 3
k = 1 − 4 ⋅ ( − 7 ) 3 2 = 1 − − 28 9 = 1 + 28 9 = 1 28 9 = 28 37 A n s w er : V er t e x = ( 14 3 , 28 37 )
The x-coordinate of the vertex of the parabola defined by the function f ( x ) = − 7 x 2 + 3 x + 1 is 14 3 .
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