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 :

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

if a baking tray is 600mm by 500mm in diameter how many 25cm cupcakes can you fit on to the baking tray?

why can scientists get energy from plants

A plane flies 250 km at an angle of 30 degrees north of west. How far west and how far north did the plane travel?

x/4 - 5 = 6 solve for x I think the answer is 11

which factors best explains why native Americans were able to make permanent settlements

What is an ionic bond

What factors shaped American imperialism?

The domestic postage rate for first-class letters weighing 3.5 oz or less is 39 cents for the first ounce (or less), plus 16 cents for each additional ounce (or

Which of the following is the process of turning on your computer system? A. Powering up B. Operating C. Toggling D. Booting up

According to the Big Bang Theory, matter clumped into stars because of _____?