1 identify the coordinates of the vertex and the equation of the axis of summetry of the parabola

Question

x=2 (y-1)^2+3

A. The vertex of the parabola is (1,3), and the equation of the axis of symmetry
B. the vertex of the parabola is (3,1) and the equation of the axis of symmetry
c. the vertex of the parabola is (3,1) and the equation of the axis of symmetry is y=1
D. None of these

Answer 1

The equation is written in the form
x=a(y-h)^2+k
where a=2, h=1, k=3

so the vertex is at (k,h)=(3,1)

The axis of symmetry is at y=h, or y=1.