the vertex form of a function is g(x)=(x - 3)^2+9. how does the graph of g(x) compare to the graph of the…

the vertex form of a function is g(x)=(x - 3)^2+9. how does the graph of g(x) compare to the graph of the function f(x)=x^2?\n g(x) is shifted 3 units left and 9 units up.\n g(x) is shifted 3 units right and 9 units up.\n g(x) is shifted 9 units left and 3 units down.\n g(x) is shifted 9 units right and 3 units down.

the vertex form of a function is g(x)=(x - 3)^2+9. how does the graph of g(x) compare to the graph of the function f(x)=x^2?\n g(x) is shifted 3 units left and 9 units up.\n g(x) is shifted 3 units right and 9 units up.\n g(x) is shifted 9 units left and 3 units down.\n g(x) is shifted 9 units right and 3 units down.

Answer

Answer:

B. $g(x)$ is shifted 3 units right and 9 units up.

Explanation:

Step1: Analizar desplazamiento horizontal

Para una función en forma $y=(x - h)^2 + k$, el valor de $h$ afecta el desplazamiento horizontal. Si $h>0$, se desplaza $h$ unidades a la derecha. Aquí $h = 3$, entonces se desplaza 3 unidades a la derecha.

Step2: Analizar desplazamiento vertical

El valor de $k$ afecta el desplazamiento vertical. Si $k>0$, se desplaza $k$ unidades hacia arriba. Aquí $k = 9$, entonces se desplaza 9 unidades hacia arriba.