Answer: FIRST OPTION.
Step-by-step explanation:
The Intercept form of the equation of a parabola is:
[tex]f(x) = a(x - p)(x - q)[/tex]
Where "p" and "q" are x-intercepts; a positive value of "a" indicates that the parabola is concave up and a negative a value of "a" indicates that it is concave down.
Given the function:
[tex]f(x)=(x+3)(x-2)[/tex]
You can identify that the x-intercepts of this function are:
[tex]p=-3\\q=2[/tex]
And "a" is:
[tex]a=1[/tex]
This means that the parabola is concave up.
Therefore, the graph of the function [tex]f(x)=(x+3)(x-2)[/tex] is the provided in the first option.
