Question

What is the vertex of y=x^2+4x+3

Answer 1

Answer:

(-2, -1)

Step-by-step explanation:

This is a quadratic equation in standard form, and a = 1, b = 4 and c = 3.

The x-coordinate of the vertex is given by the formula

        -b                                                                         -4

x = --------- which here has the numerical value x = -------- = -2

        2a                                                                           2

Finally, we evaluate y=x^2+4x+3 at x = -2 to find the y-coordinate of the vertex:

y = (-2)^2 + 4(-2) + 3 = -1

The vertex is at (-2, -1).