It goes through (negative 2, 3), has a vertex at (negative 1, 2), and goes through (0, 3). Then the correct option is A.
The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
where a is the leading coefficient.
The quadratic function is given below.
f(x) = x² + 2x + 3
Convert the equation into standard form. Then the function will be
f(x) = x² + 2x + 3
f(x) = x² + 2x + 1 + 2
f(x) = (x + 1)² + 2
Then the vertex of the parabola will be at (-1, 2).
The value of the function at x = 0 will be
f(x) = (0 + 1)² + 2
f(x) = 1 + 2
f(x) = 3
The y-intercept will be (0, 3).
It goes through (negative 2, 3), has a vertex at (negative 1, 2), and goes through (0, 3).
Then the correct option is A.
More about the parabola link is given below.
https://brainly.com/question/8495504
#SPJ5
