A vertical parabola goes through (1, -2), (-3, 10), and (4, 31). Use matrices to solve for D, E, and F, given the general form (since it is a vertical parabola there is not a term)

The general equation of the vertical parabola is

, where a,b and c are constant.

The parabola passes through the points D(1,-2), E(-3,10), and F(4,31).

For point D:

For point E:

For point F:

All the three equations can be written in the matrix for as:

The value of all the three coefficients can be determined by solving the above equation as

On solving this, we have

So, values of the constants,

a=2, b=1, and c=-5

Hence, the required equation of parabola is

step-by-step explanation:

5×5×5+2(8)÷2(2)+3(3)

15+16÷4+9

31÷13

do 31÷13 and u will get ur answer

both equations and proportions are better.