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".

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.