Let the graph of g be vertical stretch by a factor of 3 and a reflection in the y-axis,followed by a translation 2 units left of the graph of f(x)=x^2-4x+1

Answer 1

I started this exercise by first completing the square for f(x), to get into vertex form (y = a(x+h)² + k)

1. f(x) = x² -4x + 1
2. f(x) = (x-2)² -4 + 1 (don't forget to "undo" the "L" in FOIL on the same side when completing the square)
3. f(x) = (x-2)² -3 this is the formula we will use to generate the g(x) from.
4. g(x) = 3(-x-2+2)² -3 vertical stretch factor of 3 (multiply out front), reflection over y axis (-x),

left 2 units (x+2)

1. g(x) = 3(-x)² - 3 answer.

I hope you understood the steps above...