Write a quadratic equation in standard form with x-intercepts (-3, 0) and (4, 0) that passes through (2, - 20).

Question

Mathematics

Maxwell Haynes

18 February, 16:33

Write a quadratic equation in standard form with x-intercepts (-3, 0) and (4, 0) that passes through (2, - 20).

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Answers (1)

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Bethany Kidd · Answer 1

ax^2 + bx + c = 0

(-3,0), (4,0); (2,-20)

=>

9a - 3b + c = 0

16a + 4b + c = 0

4a + 2b + c = - 20

=>

a = 2

b = - 2

c = - 24

=> 2x^2 - 2x - 24 = 0