Question

What are the x-intercepts of the graph of the equation above?

Answer 1

Answer: Option C

Explanation:

The graph is of the quadratic equation is a parabola.

The parabola intercepts the x-axis when
`y=0`.

Then, you need to substitute
`y=0` into the equation:

`y=x^2+2x-8\\0=x^2+2x-8`

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:

`0=(x-2)(x+4)\\\\x_1=2\\x_2=-4`

Therefore, the x-intercepts are:

(-4,0) and (2,0)