Answer:
[tex] - (x - 1) {}^{2} + 5[/tex]
Step-by-step explanation:
F(x) is a transformation from h(x).
So our starting equation is
[tex] - (x - 1) {}^{2} - 1[/tex]
F(x) is also facing the same direction h(x) is so we dont have to reflect nothing across the x or y axis.
There isn't a vertical or horizontal stretch, compressions.
There isn't a horizontal shift as the x values stay in the same place.
There is a vertical shift. We can simply move h(x) up 6 units to get to f(x).
So our equation looks like.
[tex] - (x - 1) {}^{2} + 5[/tex]
