your friend claims that it is possible to draw a parabola through any two points with different x coordinates. Is your friend correct? explain your answer

9514 1404 393

  yes

Step-by-step explanation:

In general, a (vertical) parabola can be drawn through any 3 non-collinear points having different x-coordinates. For any given pair of points, there are an infinite number of points that are non-collinear with them.

An infinite number of parabolas can be drawn through two points. Your friend is correct.

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )