Answer:
The procedure in the explanation
Explanation:
we have

This is the equation of a vertical parabola written in vertex form open upward (the leading coefficient is positive)
The vertex is a minimum
The vertex is the point (3,-1)
To graph the parabola find the axis of symmetry and the intercepts
Find the axis of symmetry
The axis of symmetry of the vertical parabola is equal to the x-coordinate of the vertex
so

Find the y-intercept
The y-intercept is the value of y when the value of x is equal to zero
so
For x=0


The y-intercept is the point (0,17)
Find the x-intercepts
The x-intercept is the value of x when the value of y is equal to zero
so
For y=0

solve for x

square root both sides



The x-intercepts are the points


To graph the quadratic equation, plot the vertex, the axis of symmetry, the y-intercept and the x-intercepts and join them
see the attached figure to better understand the problem