Question

Describe the transformations necessary to get from the graph of the parent function f(x) = x2 to the graph of the given function.

g(x) = (x + 5)2 − 2

Translate the graph _
units to the __and
___ units .

Answer 1

translate the graph 5 units left and down 2 units

Explanation:

To translate the function f(x) by an amount h units right and k units up, make the transformation ...

g(x) = f(x -h) +k

Comparing this to your equation,

g(x) = f(x +5) -2

we see that the translation is h = -5, k = -2.

The graph of f(x) is translated 5 units left and 2 units down to make the graph of g(x).