Question

Which best describes the transformation from the graph of f(x) = x2 to the graph of f(x) = (x – 3)2 – 1? left 3 units, down 1 unit left 3 units, up 1 unit right 3 units, down 1 unit right 3 units, up 1 unit

Answer 1

C.right 3 units and down 1 unit

Explanation:

Answer 2

right 3 units and down 1 unit

Explanation:

we know that

`f(x)=x^(2)`

Is the equation of a vertical parabola open upward with vertex at (0,0)

and

`f(x)=(x-3)^(2)-1`

Is the equation of a vertical parabola open upward with vertex at (3,-1)

so

The rule of the translation of

(0,0) -----> (3,-1)

is equal to

(x,y) -----> (x+3,y-1)

That means ----> the translation is right 3 units and down 1 unit