What is the axis of symmetry and vertex for the graph #y=x^2-7#?

1 Answer
Shwetank Mauria
Jul 3, 2017

Axis of symmetry is #x=0# i.e. #y#-axis and vertex is #(0,-7)#.

Explanation:

A general equation of a parabola is #y=a(x-h)^2+k#, where #(h,k)# is the vertex and #x-h=0# is the axis of symmetry.

Observe that we can write the given equation #y=x^2-7# as

#y=1xx(x-0)^2-7#

and hence while axis of symmetry is #x=0# i.e. #y#-axis and vertex is #(0,-7)#.

graph{(y-x^2+7)(x^2+(y+7)^2-0.02)=0 [-20, 20, -10, 10]}

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