Question

hich is the graph of the function f(x) = x2 + 2x + 3?

On a coordinate plane, a parabola opens up. It goes through (negative 2, 3), has a vertex at (negative 1, 2), and goes through (0, 3).
On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (1, 2), and goes through (2, 3).
On a coordinate plane, a parabola opens up. It goes through (negative 4, 3), has a vertex at (negative 2, negative 1), and goes through (0, 3).
On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (2, negative 1), and goes through (4, 3).

Answer 1

The first graph.

Reason: f(x)=x^2+2x+3 = (x+1)^2+2 so the vertex is at (-1,2), it opens up, and f(0)=3 and f(-2)=3, so it goes through (-2,3), (-1,2) and (0,3).