Question

Solve by graphing. x2 + 2x – 3 = 0

Answer 1

The graph is attached 

Answer 2

The graph of an equation is the set of all  points that are solutions of the equation. Frequently, a relationship between two quantities can be expressed as an equation  in two variables. For instance, we can write the equation of our problem as the following form:

$y=x^2+2x-3 \\ \\ Or: \\ \\ f(x)=x^2+2x-3$

So, by graphing $f(x)$ we want to know the x-intercepts. This graph is illustrated in the Figure below. As you can see, points in red are the solution to this problem that are the x-intercepts of our previously defined function $f(x)$. These points are:

$(-3,0) \ and \ (1,0)$