nightmarescream
nightmarescream nightmarescream
  • 22-08-2016
  • Mathematics
contestada

Write the equation of a parabola, in standard form, that goes through these points: (0, 3) (1, 4) (-1, -6)

Respuesta :

caylus
caylus caylus
  • 22-08-2016
Hello,

P:y=ax²+bx+c is the equation.

(0,3)∈P==>3=a*0+b*0+c==>c=3
(1,4)∈P==>4=a+b+3==>a+b=1 (1)
(-1,-6)∈P==>-6=a-b+3==>a-b=-3 (2)

(1)+(2)==>2a=-2==>a=-1
(1)==>b=1-(-1)==>b=2

y=x²+2x+3 
y=(x+1)²+2
Vertex is (-1,2)


Answer Link

Otras preguntas

what does the statement, educator leads the educand nearer to reality mean​
A survey of 400 randomly selected high school students determined that 925 play organized sports. A. What is the probability that a randomly selected high schoo
5. A fair, six-sided die is rolled 7 times. What is the relative frequency of rolling a 3 at least once? 0.28 0.72 0.39 0.61
How do we find the equivalent ratio of 8/20 PLS HELP ITS RLLY IMPORTANT!!!!
The trachea is part of the respiratory tract. It is a tube that is about four inches long and less than one inch wide. The trachea contains about twenty C-shape
At the time of creation of cui material the authorized is responsible for determining.
Water is the key ingredient in cloud formation true or false
On a piece of paper, use a protractor to construct △ABC with m∠A=30° , m∠B=60° , and m∠C=90° .Which statements about the triangles are true?Select each correct
I have the answer but I need proof I did it. Pls edit the pic and show work I will give a brainlist point.
What is 4 3/4 divided by 6