Answer:
\(f(x)=a(x-h)^{2} -k\)
Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to
\(f(x)=a(x-h)^{2} +k\)
where (h,k) is the vertex of the parabola
The axis of symmetry is equal to
\(x=h\)
In this problem the parabola open upward
so
the coefficient a is positive
The coordinates of the vertex will be \((h,-k)\) (the y-coordinate is negative)
so
the equation will be of the form
\(f(x)=a(x-h)^{2} -k\)
