What is the axis of symmetry and vertex for the graph y=x2+1?

1 Answer
Apr 8, 2017

Axis of symmetry is x=0 (y-axis) and vertex is (0,1)

Explanation:

The axis of symmetry of (yk)=a(xh)2 is xh=0 and vertex is (h,k).

As y=x2+1 can be written as

(y1)=1(x0)2

hence axis of symmetry is x0=0 i.e. x=0 (y-axis) and vertex is (0,1)

graph{-x^2+1 [-10.29, 9.71, -6.44, 3.56]}

Note: The axis of symmetry of (xh)=a(yk)2 is yk=0 and vertex is (h,k).