Answer:
The graph in the attached figure
Step-by-step explanation:
we have
This is a vertical parabola open upward (the leading coefficient is positive)
The vertex represent a minimum
The vertex is the point (3,5)
The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex
so
---> axis of symmetry
<u><em>Find the y-intercept</em></u> (value of f(x) when the value of x is equal to zero)
For x=0
The y-intercept is the point (0,14)
<u><em>Find the x-intercept</em></u> (values of x when the value of f(x) is equal to zero)
For y=0
---> has no real solutions
The function has no x-intercepts (The roots of the quadratic equation are complex numbers)
therefore
The graph in the attached figure