What is the equation of the blue graph

Hmm, we can't really see where the x intercept are

oh, look, we all the answers are in vertex form
so

vertex form is
g(x)=a(x-h)²+k
where (h,k) is teh vertex
and a is some constant

we see that the vertex is at (1,-3) so
h=1, k=-3

g(x)=a(x-1)²-3 is da equation
we see that all the choices have a=1 so
g(x)=(x-1)²-3

so answer is C

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c