how do you draw a graph of a relation
y=-x^2+4 and use appropriate transformation starting with y=x^2
The graph of y=x² is quite standard, so it is a good point to start.
The transformation y -> y+4 is a translation along the positive y-axis. So the graph of y=x²+4 is obtained by shifting upwards by 4 units (i.e. along the +y axis) the graph of y=x².