For each of the following equations.

Question

Find the coordinates of the vertex of the curve it describes.
Find the x− intercepts.
Find the y− intercept.
Find the equation of the line of symmetry.
Use all this information to sketch the graph of the function.
y =2−(x −3)^2

Answer 1

This is just a parabola opening downward.
The given equation is in vertex form, so just read off the vertex from that.
when x=0, y=?
When y=0, x-3 = ±√2
The line of symmetry goes through the vertex.

Answer 2

thanks