Question

Suppose the graph of a parent function f(x) is shifted to the left 1 unit, reflected vertically over the x-axis, and then shifted up three units. What equation models the transformed graph?o y = f (x - 1) + 3o y = -f (x- 1) + 3o y = f (x + 1) + 3o y = -f (x + 1) + 3

Answer 1

$\text{Let the parent function be f(x)}$

If it is shifted to the left by 1 unit, the function becomes:

$y=f(x+1)$

It is reflected vertically over the x-axis; the function becomes:

$y=-f(x+1)$

It is, then, shifted up 3units, thus we have:

$y=-f(x+1)+3$

Hence, the correct option is option D