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That would be a quadratic expression which describes a parabola. You can find where it intersects the x-axis by solving it for zero:
x2 + 2x - 7 = 0
x2 + 2x + 1 = 8
(x + 1)2 = 8
x + 1 = ± 2√2
x = -1 ± 2√2
This tells us that it intersects the x-axis at the points where x equals -1 + 2√2 and -1 - 2√2.
If you'd like to find it's vertex, you can check that easily by taking it's derivative with respect to x and solving that for zero:
y = x2 + 2x - 7
y' = 2x + 2
Let y' = 0:
0 = 2x + 2
2x = -2
x = -1
So we know that the vertex of this parabola is at the point where x = -1.
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