Find the equation of the parabola that passes through
each set of points.
(0,-,-,-19)

Solving a system of equations, it is found that the equation of the parabola is:

The standard equation of a parabola is given by:

It passes through (0, -7), which means that when , thus c = -7, and:

It passes through (7, -14), which means that when , and thus:

Simplifying by 7:

It also passes through (-3, -19), which means that when , and thus:

Since :

Thus, the equation of the parabola is:

A similar problem is given at link

so we have the points of (0,-7),(7,-14),(-3,-19), let's plug those in the y = ax² + bx + c form, since we have three points, we'll plug each one once, thus a system of three variables, and then we'll solve it by substitution.

well, from the 1st  equation, we know what "c" is already, so let's just plug that in the 2nd equation and solve for "b".

well, now let's plug that "b" into our 3rd equation and solve for "a".

9 x 8 divided by (5-3)=36

these sign is used to tell weather the number is greater or less than the number   <   or >     but this sign means its equal =    

hope this you and

step-by-step explanation: