esashiegurl esashiegurl
  • 15-08-2016
  • Mathematics
contestada

Write the equation of the quadratic function with roots -9 and and -3 and a vertex at (-6, -1). Help Me Please!!

Respuesta :

dalendrk
dalendrk dalendrk
  • 19-08-2016
a(x - (-9))(x - (-3)) = a(x - (-6))² + (-1)

a(x + 9)(x + 3) = a(x + 6)² - 1

a(x² + 3x + 9x + 27) = a(x² + 12x + 36) - 1

ax² + 12ax + 27a = ax² + 12ax + 36a - 1

27a = 36a - 1    |subtract 36a from both sides

-9a = -1    |divide both sides by (-9)

a = 1/9

ax² = 1/9x²

12ax = 12·1/9x = 4/3x

27a = 27·1/9 = 3

Answer: y = 1/9x^2 + 4/3x + 3
Answer Link

Otras preguntas

What happens in the G2 phase of the cell cycle?
The area of a trapezoid varies jointly with the height of the trapezoid and the sum of its two bases. The area of one trapezoid is 150 square centimeters when i
the illegal killing of wildlife is _____.
the title "was it a dream
greatest common factor of 40,100,20
what is 60= 1/2h (7 3)???
What factors was likely responsible for the location of Europes first civilization?
Which rule can you use to find the nTH term of an arithmetic sequence in which the common difference is 5 and a12 = 63?
TRUE OR FALSE? Farmers in the Chesapeake Bay region built few roads or towns because they had no need to move goods overland.
1) Who/what ended the Boxer Rebellion? A. to destroy Great Britain's industrial sector B. to establish German unification under Prussian leadership C. to des