Question

Find a quadratic function to model the values in the table. Predict the value of y for x = 6.
X Y
1---2
0---2
3---(-10)
6---?

Answer 1

I know the y-intercept is 2 because of the point (0,2)

Answer 2

\[y=ax^2+bx+c\]
a+b+c=2
c=2
9a+3b+c=-10
a+b=0--->3a+3b=0
9a+3b=-10-c=-12
6a=-12---->a=-2
b=-a=2
\[y=-2x^2+2x+2\]
y(x=6)=-2·36+2·6+2=-72+12+2=-58

Answer 3

Ok Im confused. How did u get all that with the 9a + 3b

Answer 4

i get it now after staring at it

Answer 5

First three lines are the equation system you have to solve
a+b+c=2
c=2
9a+3b+c=-10