The equation f(x) = 4x2 − 16x + 9 represents a parabola. what is the vertex of the parabola? (2, −7) (−2, 57) (4, 9) (−4, −137)

Option A is correct

Vertex = (2, -7)

Step-by-step explanation:

A quadratic equation is in the form of:

          .....[1]

then;

Axis of symmetry is given by:

Vertex =

As per the statement:

The equation :

On comparing with [1] we have;

a = 4, b = -16 and c =9

we have;

Substitute x= 2 in f(x) we have;

Vertex = (2, -7)

therefore, the vertex of the parabola is, (2, -7)

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