Which could be the function? the graph shows the axis of symmetry for a quadratic function f(x) of(x) = (x + 4) o f(x) = x2 + 4 o f(x) = (x - of(x) = x2 +4

Step-by-step explanation:

we have that

The axis of symmetry shown in the graph is x=4

we know that

The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

so

Verify each case

case a) we have

The vertex is the point (-4,0)

therefore

Cannot be the function

case b) we have

The vertex is the point (0,4)

The axis of symmetry is x=0

therefore

Cannot be the function

case c) we have

The vertex is the point (4,0)

The axis of symmetry is x=4

therefore

Could be the function

case d) we have

The vertex is the point (0,-4)

The axis of symmetry is x=0

therefore

Cannot be the function

question:

could we have options?