Answer: Option C
Step-by-step explanation:
The graph is of the quadratic equation is a parabola.
The parabola intercepts the x-axis when [tex]y=0[/tex].
Then, you need to substitute [tex]y=0[/tex] into the equation:
[tex]y=x^2+2x-8\\0=x^2+2x-8[/tex]
Factor the quadratic equation: find two number that when you add them you get 2 that when you multiply them you get -8. In this case these numbers are -2 and 4. Then:
[tex]0=(x-2)(x+4)\\\\x_1=2\\x_2=-4[/tex]
Therefore, the x-intercepts are:
(-4,0) and (2,0)
