Find the equation of the parabola that passes through the points:
(0,5) (1,7) (-2,19)

y= 3x^2 - x+5

Step-by-step explanation:

hope that helps

Step-by-step explanation:

The general form of a parabola is

Now, we have three points, where each of them gives values for (x,y). We can use them to create a system of three equations with three unknown variables

Then, we replace the value of in the second and third equation to find create an equation with only two variables

Then, we multiply the first equation by 2, and sum both equations

Finally, we use this value to find

Therefore, the equation of the parabola is

b. would be the answer : )

step-by-step explanation:

step 1: add -16x to both sides.

16x−4y+−16x=64+−16x  

−4y=−16x+64

step 2: divide both sides by -4.

−4y /-4 = -16x + 64/-4

answer:   y=4x−16

hope i'm right

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0