Determine the axis of symmetry and the vertex of the given function. y = 2x2 − 12x + 21 axis of symmetry: x = vertex: ( , )

The vertex of the function is (h,k)=(3,3)

The axis of symmetry is x=3.    

Step-by-step explanation:

Given : Function

To find : Determine the axis of symmetry and the vertex of the given function.

Solution :  

The quadratic function is in the form,

On comparing, a=2 , b=-12 and c=21

The vertex of the graph is denote by (h,k) and the formula to find the vertex is

For h, The x-coordinate of the vertex is given by,

For k, The y-coordinate of the vertex is given by,

The vertex of the function is (h,k)=(3,3)

The x-coordinate of the vertex i.e. is the axis of symmetry,

So, (solved above)

So, The axis of symmetry is x=3.    

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step-by-step explanation: