Question

What is the vertex and the axis of symmetry of the quadratic function graphed below?

A. The vertex is (0, 0), and the axis of symmetry is x = 6.

B. The vertex is (6, 3), and the axis of symmetry is x = 6.

C. The vertex is (4, 8), and the axis of symmetry is x = 6.

D. The vertex is (6, 3), and the axis of symmetry is y = 3.

Answer 1

the answer is B ! as vertex is (6,3) and axis of symmetry lies on x=6 !

if you need explanation, comment !

Answer 2

Answer: The correct option is

(B) The vertex is (6, 3), and the axis of symmetry is x = 6.

Step-by-step explanation: We are given to find the vertex and the axis of symmetry of the graphed quadratic equation.

From the graph, we see that the graphed quadratic function is a parabola, which open downwards and maximum point is (6, 3).

So, the vertex of the parabola is at (6, 3).

Now, the axis of symmetry will be a line passing through the vertex and parallel to the Y-axis.

That is, x = k.

Since the axis of symmetry passes through the vertex (6, 3), so we get

x = 6.

Thus, the vertex is (6, 3), and the axis of symmetry is x = 6.

Option (B) is CORRECT.