The graph above is a transformation of the function x2 Write

The graph above is a transformation of the function x^2. Write tin equation for the function graphed above g(x) =

Solution

The given graph is the reflection across x axis

So we get y=-(x)²

And the graph shifts to 2 units down and 1 unit right

Si we get

y=-(x-1)²-2

And it also stretches vertically by .5

Therefore equation of the given graph is

y=-.5(x-1)²-2