Question

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.

Answer 1

Option C. The graph would shift 4 units down

Explanation:

we know that

The function

`y=x^(2)+6` ----> is a vertical parabola with a vertex at (0,6)

`y=x^(2)+2` ----> is a vertical parabola with a vertex at (0,2)

so

The rule of the translation is

`(x,y)------> (x,y-4)`

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