Question

If (2,-6) is a point on f(x), what will be the corresponding point on the transformation y=-2f(x+3)

Answer 1

1) To find that the corresponding points, let'-s plug it into that formula:

(2, -6)

If we plug 2 and we have output the number -6, then f(x) is y= -3x

-2f(x+3) is the function f(x) with a horizontal shift of 3 units to left, a vertical stretch, a reflection.

2) y=-2(2+3) then y=-2(5) y=-10

So point (2,-6) will correspond to (2,-10)