The given graph is the graph of y x2 shiftedreflected in th

The given graph is the graph of y = x² shifted/reflected in the xy-plane. Write an equation of the graph.

f(x) =

Solution

y = x^2

the graph of x^2 is reflected along y axis

so it becomes -x^2

and it is shifted 3 units upwards so function becomes

f(x) = - x^2 + 3