Answer:

Step-by-step explanation:
First, we can find the slope using the slope equation and two of the points.
Slope equation:

I'm going to use the first two points just so I can avoid the fraction... Substitute the x and y values into the equation.

Simplify:

Now that we have the slope, all we need is the y-intercept. Luckily, it gives it to us in the table. The x value of y-intercepts will always be 0. Looking at the table, we see that the point where x=0 is (0,2). Thus, the y-intercept is 2. Your final equation is

You can factor a parabola by finding its roots: if

has roots
, then you have the following factorization:

In order to find the roots, you can use the usual formula

In the first example, this formula leads to

So, you can factor

The same goes for the second parabola.
As for the third exercise, simply plug the values asking

you get

Add 3 to both sides:

Divide both sides by 1.5:

Answer:
(x/3) - 5
Step-by-step explanation:
Five less than quotient of x and three