psirockin2
psirockin2 psirockin2
  • 16-11-2016
  • Mathematics
contestada

What is the equation in standard form of a parabola that contains the following points

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

Respuesta :

Аноним Аноним
  • 16-11-2016

-20 = 4a - 2b + c
-4 = c
-20 = 16a + 4b + c

4a - 2b + c = 16a + 4b + c
4a - 2b = 16a + 4b
-6b = 12a
b = -2a

-20 = 4a - 2b + c
-20 = 4a + 4a - 4
-16 = 8a
-2 = a
b = 4
c = -4

y = -2x^2 + 4x - 4
y = -2 * (x^2 - 2x) - 4
y = -2 * (x^2 - 2x + 1 - 1) - 4
y = -2 * (x^2 - 2x + 1) + 2 - 4
y = -2 * (x + 1)^2 - 2

Answer Link

Otras preguntas

What word describes all of the processes that happen in a living thing?
Determine the equation of g(x) that results from translating the function f(x) = (x + 10)2 to the right 12 units.
Consider the equation f(x)=-6x-1 and g(x)=4x^2 select the solution for (f+g)(x)
A cyclist accelerates from 0 m/s to 8 m/s in 3 seconds. What is his acceleration?
What was the South’s greatest concern when California applied for statehood? A-The South feared it would lose power and influence in the Senate. B-The South fea
Describe the wavelength of a longitudinal wave.
“A horse pulls on a cart. By Newton’s third law of motion, the cart pulls back on the horse with a force equal to that exerted by the horse on the cart. The su
How do you write 7.208 in expanded notation form
during a recent regular season, a taxas ranger baseball player had 126 hits and was a bat 399 times. write a fraction in simplest form to represent the ratio o
A girl weighs 200 newtons. How much work does she do climbing 10 meters of steps?