12monkey6
contestada

How would the graph of y = x2 + 6 be affected if the 6 in the function was changed to a 2?
A.The graph would shift 2 units up.
B. The graph would shift 4 units up.
C. The graph would shift 4 units down.
D.The graph would shift 4 units to the left.

Respuesta :

calculista

Answer:

Option C. The graph would shift 4 units down

Step-by-step explanation:

we know that

The function

[tex]y=x^{2}+6[/tex] ----> is a vertical parabola with a vertex at (0,6)

[tex]y=x^{2}+2[/tex] ----> is a vertical parabola with a vertex at (0,2)

so

The rule of the translation is

[tex](x,y)------> (x,y-4)[/tex]

That means------> The translation is 4 units down