Determine the axis of symmetry and the vertex of the given function.

y = 2x2 − 12x + 21

axis of symmetry

Vertex is (3,3)

Axis of symmetry is x=3

Step-by-step explanation:

Given : Function

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

Solution :

The given function is in the form of quadratic equation

Comparing with the given function

a=2 , b=-12  and c=21

x-coordinate of axis of symmetry and vertex

Axis of symmetry is given by

Substitute the value,

For y-coordinate of axis substitute x=3 in y

Therefore, The vertex of function is (3,3).

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