To graph the function g(x) = (x – 5)2 – 9, shift the graph of f(x) = x2 5 units and 9 units.

The graph of f(x) shifts 5 units right and 9 units down to graph g(x).

Step-by-step explanation:

The general form of the parabola is

Where, (h,k) is the vertex of the parabola and a is stretch factor.

The parent function is

The vertex of the parabola is (0,0).

The given function is

The vertex of the parabola is (5,-9).

The vertex of the parabola shifts from (0,0) to (5,-9), therefore the graph of f(x) shifts 5 units right and 9 units down to graph g(x).

by definition, an arc subtended by a central angle of some given measure has the same measure. so .