Question

The graph shows four parabolas. Which parabola represents the parent function f(x)=x2
after it is shifted 2 units to the right and 3 units up?

Graph with four parabolas intersecting at different points.
(1 point)

The parabola with its vertex located at point B.

The parabola with its vertex located at point C.

The parabola with its vertex located at point D.

The parabola with its vertex located at point A.

Answer 1

Shifting f(x)=x^2 right 2 and up 3 gives g(x)=(x−2)^2+3, so the vertex is at (2,3). Pick the parabola whose vertex is at (2,3).

If point C is at (2,3) then the correct choice is: The parabola with its vertex located at point C. If you want, upload the graph or give the coordinates of A–D and I’ll confirm.