find a parabola with equation y=ax^2+bx+c that has slope 4 at x=1, slope -8 at x=-1 and passes through (2,15).

cuquerob21

cuquerob21

Answered question

2023-03-07

find a parabola with equation y = a x 2 + b x + c that has slope 4 at x=1, slope -8 at x=-1 and passes through (2,15).

Answer & Explanation

librarymicex4b

librarymicex4b

Beginner2023-03-08Added 3 answers

f ( x ) = a x 2 + b x + c
f ( x ) = 2 a x + b
f ( 1 ) = 2 a + b = 4
f ( - 1 ) = - 2 a + b = - 8
2 b = - 4
2 a - 2 = 4
a = 3
f ( x ) = 3 x 2 - 2 x + c
f ( 2 ) = 3 4 - 2 2 + c = 8 + c = 15
c = 15 - 8 = 7
f ( x ) = 3 x 2 - 2 x + 7

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