A quadratic function y=f(x)y=f(x) is plotted on a graph and the vertex of the resulting parabola is (5, 3)(5,3). What is the vertex of the function defined as g(x)=f(x+2)+2g(x)=f(x+2)+2?

Answer 1

f(x+2). will move the vertex 2 units to the left. (remember when it' s inside the parentheses you go the opposite direction)

And the +2 on the outside will move the graph up 2 units.

The new vertex will be (5-2, 3+2) = (3,5)