Does the graph of the function y–x2=9 intersect the following. if the answer is ‘yes’, determine the coordinates of the points of intersection. the y axis this is a lot of points so do it

We have that
y–x²=9--------> y-9=x²
is a vertical parabola with equation of the form
(y-k)=a(x-h)²
vertex (h,k)------> vertex (0,9)
a=1
so
a> 0-----> parabola open up
the vertex is a minimum

step 1
Find the coordinates of the points of intersection with the y axis
for x=0
y-9=x²-----> y-9=0-----> y=9

the point of intersection with the y axis is (0,9)

see the attached figure