Question

The function f(x)=x^2
was transformed to create the function g(x)=f(x−3)−4
.

What are the coordinates of the vertex of graph g(x)
?

Answer 1

g(x) = (x − 3)^2 − 4, so the parabola is shifted right 3 and down 4 from f(x)=x^2.

Vertex: (3, −4)