Answer :
To graph the function g(x) = (x – 5)2 – 9, shift the graph of f(x) = x2 ✔ right
5 units and ✔ down 9 units.
5 units and ✔ down 9 units.
Answer:
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
[tex]h(x)=a(x-h)^2+k[/tex]
Where, (h,k) is the vertex of the parabola and a is stretch factor.
The parent function is
[tex]f(x)=x^2[/tex]
The vertex of the parabola is (0,0).
The given function is
[tex]g(x)=(x-5)^2-9[/tex]
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).
