Answer:
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
<em>Verify each case</em>
<em>case a)</em> we have
The vertex is the point (-4,0)
therefore
Cannot be the function
<em>case b)</em> we have
The vertex is the point (0,4)
The axis of symmetry is x=0
therefore
Cannot be the function
<em>case c)</em> we have
The vertex is the point (4,0)
The axis of symmetry is x=4
therefore
Could be the function
<em>case d)</em> we have
The vertex is the point (0,-4)
The axis of symmetry is x=0
therefore
Cannot be the function