The vertex of a parabola given by the equation f(x) = ax^2 + bx + c is given by the point (-b/2a, f(-b/2a)).

In this case, a = 1 and b = 4. So, the x-coordinate of the vertex is -b/2a = -4/(2*1) = -2.

Substitute x = -2 into the equation to find the y-coordinate of the vertex:

f(-2) = (-2)^2 + 4*(-2) + 2 = 4 - 8 + 2 = -2.

So, the vertex of the function f(x) = x^2 + 4x + 2 is (-2, -2). Therefore, the correct answer is b.(-2, -2).

Question

The vertex of a parabola given by the equation f(x) = ax^2 + bx + c is given by the point (-b/2a, f(-b/2a)).

In this case, a = 1 and b = 4. So, the x-coordinate of the vertex is -b/2a = -4/(2*1) = -2.

Substitute x = -2 into the equation to find the y-coordinate of the vertex:

f(-2) = (-2)^2 + 4*(-2) + 2 = 4 - 8 + 2 = -2.

So, the vertex of the function f(x) = x^2 + 4x + 2 is (-2, -2). Therefore, the correct answer is b.(-2, -2).

Knowee AI · Accepted Answer

The vertex of a parabola given by the equation f(x) = ax^2 + bx + c is given by the point (-b/2a, f(-b/2a)).

In this case, a = 1 and b = 4. So, the x-coordinate of the vertex is -b/2a = -4/(2*1) = -2.

Substitute x = -2 into the equation to find the y-coordinate of the vertex:

f(-2) = (-2)^2 + 4*(-2) + 2 = 4 - 8 + 2 = -2.

So, the vertex of the function f(x) = x^2 + 4x + 2 is (-2, -2). Therefore, the correct answer is b.(-2, -2).

What is the vertex of f(x) = x2 + 4x + 2?Question 2Select one:a.(2, 2)b.(– 2, – 2)c.(– 2, 2)d.(2, – 2)e.None of these